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Finding the Third Proportional to 19,745 and 42,289

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Solution

The third proportional to 19,745 and 42,289 is: 90,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745 : 42,289 = 42,289 : x
  2. Step 2: Convert to fraction form
    19,745/42,289 = 42,289/x
  3. Step 3: Cross multiply
    19,745x = 42,289 × 42,289
  4. Step 4: Simplify right side
    19,745x = 1,788,359,521
  5. Step 5: Solve for x
    x = 1,788,359,521/19,745
  6. Step 6: Final answer
    x = 90,572.78

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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.