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Finding the Third Proportional to 54,447.19 and 59,428.69

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Solution

The third proportional to 54,447.19 and 59,428.69 is: 64,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,447.19 : 59,428.69 = 59,428.69 : x
  2. Step 2: Convert to fraction form
    54,447.19/59,428.69 = 59,428.69/x
  3. Step 3: Cross multiply
    54,447.19x = 59,428.69 × 59,428.69
  4. Step 4: Simplify right side
    54,447.19x = 3,531,768,897.97
  5. Step 5: Solve for x
    x = 3,531,768,897.97/54,447.19
  6. Step 6: Final answer
    x = 64,865.96

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.