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Finding the Third Proportional to 19,024 and 40,472

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Solution

The third proportional to 19,024 and 40,472 is: 86,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024 : 40,472 = 40,472 : x
  2. Step 2: Convert to fraction form
    19,024/40,472 = 40,472/x
  3. Step 3: Cross multiply
    19,024x = 40,472 × 40,472
  4. Step 4: Simplify right side
    19,024x = 1,637,982,784
  5. Step 5: Solve for x
    x = 1,637,982,784/19,024
  6. Step 6: Final answer
    x = 86,100.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.