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Finding the Third Proportional to 12,397.50 and 16,864.88

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Solution

The third proportional to 12,397.50 and 16,864.88 is: 22,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.50 : 16,864.88 = 16,864.88 : x
  2. Step 2: Convert to fraction form
    12,397.50/16,864.88 = 16,864.88/x
  3. Step 3: Cross multiply
    12,397.50x = 16,864.88 × 16,864.88
  4. Step 4: Simplify right side
    12,397.50x = 284,424,008.77
  5. Step 5: Solve for x
    x = 284,424,008.77/12,397.50
  6. Step 6: Final answer
    x = 22,942.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.