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Finding the Third Proportional to 29,007 and 61,446

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Solution

The third proportional to 29,007 and 61,446 is: 130,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,007 : 61,446 = 61,446 : x
  2. Step 2: Convert to fraction form
    29,007/61,446 = 61,446/x
  3. Step 3: Cross multiply
    29,007x = 61,446 × 61,446
  4. Step 4: Simplify right side
    29,007x = 3,775,610,916
  5. Step 5: Solve for x
    x = 3,775,610,916/29,007
  6. Step 6: Final answer
    x = 130,162.06

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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.