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Finding the Third Proportional to 10,449 and 14,857.50

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Solution

The third proportional to 10,449 and 14,857.50 is: 21,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449 : 14,857.50 = 14,857.50 : x
  2. Step 2: Convert to fraction form
    10,449/14,857.50 = 14,857.50/x
  3. Step 3: Cross multiply
    10,449x = 14,857.50 × 14,857.50
  4. Step 4: Simplify right side
    10,449x = 220,745,306.25
  5. Step 5: Solve for x
    x = 220,745,306.25/10,449
  6. Step 6: Final answer
    x = 21,125.97

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.