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Finding the Third Proportional to 62,461 and 82,007

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Solution

The third proportional to 62,461 and 82,007 is: 107,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,461 : 82,007 = 82,007 : x
  2. Step 2: Convert to fraction form
    62,461/82,007 = 82,007/x
  3. Step 3: Cross multiply
    62,461x = 82,007 × 82,007
  4. Step 4: Simplify right side
    62,461x = 6,725,148,049
  5. Step 5: Solve for x
    x = 6,725,148,049/62,461
  6. Step 6: Final answer
    x = 107,669.55

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.