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Finding the Third Proportional to 29,056 and 61,376

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Solution

The third proportional to 29,056 and 61,376 is: 129,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,056 : 61,376 = 61,376 : x
  2. Step 2: Convert to fraction form
    29,056/61,376 = 61,376/x
  3. Step 3: Cross multiply
    29,056x = 61,376 × 61,376
  4. Step 4: Simplify right side
    29,056x = 3,767,013,376
  5. Step 5: Solve for x
    x = 3,767,013,376/29,056
  6. Step 6: Final answer
    x = 129,646.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.