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Finding the Third Proportional to 19,472 and 45,720

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Solution

The third proportional to 19,472 and 45,720 is: 107,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472 : 45,720 = 45,720 : x
  2. Step 2: Convert to fraction form
    19,472/45,720 = 45,720/x
  3. Step 3: Cross multiply
    19,472x = 45,720 × 45,720
  4. Step 4: Simplify right side
    19,472x = 2,090,318,400
  5. Step 5: Solve for x
    x = 2,090,318,400/19,472
  6. Step 6: Final answer
    x = 107,349.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.