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Finding the Third Proportional to 10,446.75 and 19,665

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Solution

The third proportional to 10,446.75 and 19,665 is: 37,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.75 : 19,665 = 19,665 : x
  2. Step 2: Convert to fraction form
    10,446.75/19,665 = 19,665/x
  3. Step 3: Cross multiply
    10,446.75x = 19,665 × 19,665
  4. Step 4: Simplify right side
    10,446.75x = 386,712,225
  5. Step 5: Solve for x
    x = 386,712,225/10,446.75
  6. Step 6: Final answer
    x = 37,017.47

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.