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Finding the Third Proportional to 29,006 and 61,566

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Solution

The third proportional to 29,006 and 61,566 is: 130,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,006 : 61,566 = 61,566 : x
  2. Step 2: Convert to fraction form
    29,006/61,566 = 61,566/x
  3. Step 3: Cross multiply
    29,006x = 61,566 × 61,566
  4. Step 4: Simplify right side
    29,006x = 3,790,372,356
  5. Step 5: Solve for x
    x = 3,790,372,356/29,006
  6. Step 6: Final answer
    x = 130,675.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.