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Finding the Third Proportional to 39,097 and 62,951

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Solution

The third proportional to 39,097 and 62,951 is: 101,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097 : 62,951 = 62,951 : x
  2. Step 2: Convert to fraction form
    39,097/62,951 = 62,951/x
  3. Step 3: Cross multiply
    39,097x = 62,951 × 62,951
  4. Step 4: Simplify right side
    39,097x = 3,962,828,401
  5. Step 5: Solve for x
    x = 3,962,828,401/39,097
  6. Step 6: Final answer
    x = 101,358.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.