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Finding the Third Proportional to 27,948 and 42,282

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Solution

The third proportional to 27,948 and 42,282 is: 63,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948 : 42,282 = 42,282 : x
  2. Step 2: Convert to fraction form
    27,948/42,282 = 42,282/x
  3. Step 3: Cross multiply
    27,948x = 42,282 × 42,282
  4. Step 4: Simplify right side
    27,948x = 1,787,767,524
  5. Step 5: Solve for x
    x = 1,787,767,524/27,948
  6. Step 6: Final answer
    x = 63,967.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.