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Finding the Third Proportional to 29,000 and 61,798

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Solution

The third proportional to 29,000 and 61,798 is: 131,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,000 : 61,798 = 61,798 : x
  2. Step 2: Convert to fraction form
    29,000/61,798 = 61,798/x
  3. Step 3: Cross multiply
    29,000x = 61,798 × 61,798
  4. Step 4: Simplify right side
    29,000x = 3,818,992,804
  5. Step 5: Solve for x
    x = 3,818,992,804/29,000
  6. Step 6: Final answer
    x = 131,689.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.