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Finding the Third Proportional to 28,564 and 42,686

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Solution

The third proportional to 28,564 and 42,686 is: 63,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564 : 42,686 = 42,686 : x
  2. Step 2: Convert to fraction form
    28,564/42,686 = 42,686/x
  3. Step 3: Cross multiply
    28,564x = 42,686 × 42,686
  4. Step 4: Simplify right side
    28,564x = 1,822,094,596
  5. Step 5: Solve for x
    x = 1,822,094,596/28,564
  6. Step 6: Final answer
    x = 63,789.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.