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Finding the Third Proportional to 19,534 and 42,632

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Solution

The third proportional to 19,534 and 42,632 is: 93,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534 : 42,632 = 42,632 : x
  2. Step 2: Convert to fraction form
    19,534/42,632 = 42,632/x
  3. Step 3: Cross multiply
    19,534x = 42,632 × 42,632
  4. Step 4: Simplify right side
    19,534x = 1,817,487,424
  5. Step 5: Solve for x
    x = 1,817,487,424/19,534
  6. Step 6: Final answer
    x = 93,042.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.