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Finding the Third Proportional to 36,055.13 and 45,780.19

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Solution

The third proportional to 36,055.13 and 45,780.19 is: 58,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,055.13 : 45,780.19 = 45,780.19 : x
  2. Step 2: Convert to fraction form
    36,055.13/45,780.19 = 45,780.19/x
  3. Step 3: Cross multiply
    36,055.13x = 45,780.19 × 45,780.19
  4. Step 4: Simplify right side
    36,055.13x = 2,095,825,567.54
  5. Step 5: Solve for x
    x = 2,095,825,567.54/36,055.13
  6. Step 6: Final answer
    x = 58,128.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.