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Finding the Third Proportional to 4,044.09 and 5,434.59

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Solution

The third proportional to 4,044.09 and 5,434.59 is: 7,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.09 : 5,434.59 = 5,434.59 : x
  2. Step 2: Convert to fraction form
    4,044.09/5,434.59 = 5,434.59/x
  3. Step 3: Cross multiply
    4,044.09x = 5,434.59 × 5,434.59
  4. Step 4: Simplify right side
    4,044.09x = 29,534,809.23
  5. Step 5: Solve for x
    x = 29,534,809.23/4,044.09
  6. Step 6: Final answer
    x = 7,303.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.