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Finding the Third Proportional to 27,694 and 42,953

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Solution

The third proportional to 27,694 and 42,953 is: 66,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,694 : 42,953 = 42,953 : x
  2. Step 2: Convert to fraction form
    27,694/42,953 = 42,953/x
  3. Step 3: Cross multiply
    27,694x = 42,953 × 42,953
  4. Step 4: Simplify right side
    27,694x = 1,844,960,209
  5. Step 5: Solve for x
    x = 1,844,960,209/27,694
  6. Step 6: Final answer
    x = 66,619.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.