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Finding the Third Proportional to 19,442 and 28,753

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Solution

The third proportional to 19,442 and 28,753 is: 42,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,442 : 28,753 = 28,753 : x
  2. Step 2: Convert to fraction form
    19,442/28,753 = 28,753/x
  3. Step 3: Cross multiply
    19,442x = 28,753 × 28,753
  4. Step 4: Simplify right side
    19,442x = 826,735,009
  5. Step 5: Solve for x
    x = 826,735,009/19,442
  6. Step 6: Final answer
    x = 42,523.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.