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Finding the Third Proportional to 29,478.94 and 61,691.63

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Solution

The third proportional to 29,478.94 and 61,691.63 is: 129,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,478.94 : 61,691.63 = 61,691.63 : x
  2. Step 2: Convert to fraction form
    29,478.94/61,691.63 = 61,691.63/x
  3. Step 3: Cross multiply
    29,478.94x = 61,691.63 × 61,691.63
  4. Step 4: Simplify right side
    29,478.94x = 3,805,856,595.14
  5. Step 5: Solve for x
    x = 3,805,856,595.14/29,478.94
  6. Step 6: Final answer
    x = 129,104.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.