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Finding the Third Proportional to 19,770 and 42,132

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Solution

The third proportional to 19,770 and 42,132 is: 89,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770 : 42,132 = 42,132 : x
  2. Step 2: Convert to fraction form
    19,770/42,132 = 42,132/x
  3. Step 3: Cross multiply
    19,770x = 42,132 × 42,132
  4. Step 4: Simplify right side
    19,770x = 1,775,105,424
  5. Step 5: Solve for x
    x = 1,775,105,424/19,770
  6. Step 6: Final answer
    x = 89,787.83

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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.