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Finding the Third Proportional to 39,951 and 62,106

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Solution

The third proportional to 39,951 and 62,106 is: 96,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,951 : 62,106 = 62,106 : x
  2. Step 2: Convert to fraction form
    39,951/62,106 = 62,106/x
  3. Step 3: Cross multiply
    39,951x = 62,106 × 62,106
  4. Step 4: Simplify right side
    39,951x = 3,857,155,236
  5. Step 5: Solve for x
    x = 3,857,155,236/39,951
  6. Step 6: Final answer
    x = 96,547.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.