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Finding the Third Proportional to 29,814.96 and 61,013.88

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Solution

The third proportional to 29,814.96 and 61,013.88 is: 124,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814.96 : 61,013.88 = 61,013.88 : x
  2. Step 2: Convert to fraction form
    29,814.96/61,013.88 = 61,013.88/x
  3. Step 3: Cross multiply
    29,814.96x = 61,013.88 × 61,013.88
  4. Step 4: Simplify right side
    29,814.96x = 3,722,693,895.86
  5. Step 5: Solve for x
    x = 3,722,693,895.86/29,814.96
  6. Step 6: Final answer
    x = 124,859.93

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.