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Finding the Third Proportional to 24,946.31 and 54,199.13

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Solution

The third proportional to 24,946.31 and 54,199.13 is: 117,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,946.31 : 54,199.13 = 54,199.13 : x
  2. Step 2: Convert to fraction form
    24,946.31/54,199.13 = 54,199.13/x
  3. Step 3: Cross multiply
    24,946.31x = 54,199.13 × 54,199.13
  4. Step 4: Simplify right side
    24,946.31x = 2,937,545,150.77
  5. Step 5: Solve for x
    x = 2,937,545,150.77/24,946.31
  6. Step 6: Final answer
    x = 117,754.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.