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Finding the Third Proportional to 28,163 and 59,561

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Solution

The third proportional to 28,163 and 59,561 is: 125,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,163 : 59,561 = 59,561 : x
  2. Step 2: Convert to fraction form
    28,163/59,561 = 59,561/x
  3. Step 3: Cross multiply
    28,163x = 59,561 × 59,561
  4. Step 4: Simplify right side
    28,163x = 3,547,512,721
  5. Step 5: Solve for x
    x = 3,547,512,721/28,163
  6. Step 6: Final answer
    x = 125,963.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.