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Finding the Third Proportional to 19,742 and 42,328

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Solution

The third proportional to 19,742 and 42,328 is: 90,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742 : 42,328 = 42,328 : x
  2. Step 2: Convert to fraction form
    19,742/42,328 = 42,328/x
  3. Step 3: Cross multiply
    19,742x = 42,328 × 42,328
  4. Step 4: Simplify right side
    19,742x = 1,791,659,584
  5. Step 5: Solve for x
    x = 1,791,659,584/19,742
  6. Step 6: Final answer
    x = 90,753.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.