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Finding the Third Proportional to 24,199.88 and 52,864.88

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Solution

The third proportional to 24,199.88 and 52,864.88 is: 115,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.88 : 52,864.88 = 52,864.88 : x
  2. Step 2: Convert to fraction form
    24,199.88/52,864.88 = 52,864.88/x
  3. Step 3: Cross multiply
    24,199.88x = 52,864.88 × 52,864.88
  4. Step 4: Simplify right side
    24,199.88x = 2,794,695,008.77
  5. Step 5: Solve for x
    x = 2,794,695,008.77/24,199.88
  6. Step 6: Final answer
    x = 115,483.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.