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Finding the Third Proportional to 29,700.38 and 61,505.98

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Solution

The third proportional to 29,700.38 and 61,505.98 is: 127,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,700.38 : 61,505.98 = 61,505.98 : x
  2. Step 2: Convert to fraction form
    29,700.38/61,505.98 = 61,505.98/x
  3. Step 3: Cross multiply
    29,700.38x = 61,505.98 × 61,505.98
  4. Step 4: Simplify right side
    29,700.38x = 3,782,985,152.91
  5. Step 5: Solve for x
    x = 3,782,985,152.91/29,700.38
  6. Step 6: Final answer
    x = 127,371.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.