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Finding the Third Proportional to 19,412 and 42,757

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Solution

The third proportional to 19,412 and 42,757 is: 94,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412 : 42,757 = 42,757 : x
  2. Step 2: Convert to fraction form
    19,412/42,757 = 42,757/x
  3. Step 3: Cross multiply
    19,412x = 42,757 × 42,757
  4. Step 4: Simplify right side
    19,412x = 1,828,161,049
  5. Step 5: Solve for x
    x = 1,828,161,049/19,412
  6. Step 6: Final answer
    x = 94,176.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.