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Finding the Third Proportional to 36,209 and 53,017.13

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Solution

The third proportional to 36,209 and 53,017.13 is: 77,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209 : 53,017.13 = 53,017.13 : x
  2. Step 2: Convert to fraction form
    36,209/53,017.13 = 53,017.13/x
  3. Step 3: Cross multiply
    36,209x = 53,017.13 × 53,017.13
  4. Step 4: Simplify right side
    36,209x = 2,810,815,543.27
  5. Step 5: Solve for x
    x = 2,810,815,543.27/36,209
  6. Step 6: Final answer
    x = 77,627.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.