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Finding the Third Proportional to 38,044.69 and 62,466.19

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Solution

The third proportional to 38,044.69 and 62,466.19 is: 102,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,044.69 : 62,466.19 = 62,466.19 : x
  2. Step 2: Convert to fraction form
    38,044.69/62,466.19 = 62,466.19/x
  3. Step 3: Cross multiply
    38,044.69x = 62,466.19 × 62,466.19
  4. Step 4: Simplify right side
    38,044.69x = 3,902,024,580.79
  5. Step 5: Solve for x
    x = 3,902,024,580.79/38,044.69
  6. Step 6: Final answer
    x = 102,564.24

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.