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Finding the Third Proportional to 19,737 and 42,272

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Solution

The third proportional to 19,737 and 42,272 is: 90,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737 : 42,272 = 42,272 : x
  2. Step 2: Convert to fraction form
    19,737/42,272 = 42,272/x
  3. Step 3: Cross multiply
    19,737x = 42,272 × 42,272
  4. Step 4: Simplify right side
    19,737x = 1,786,921,984
  5. Step 5: Solve for x
    x = 1,786,921,984/19,737
  6. Step 6: Final answer
    x = 90,536.66

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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.