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Finding the Third Proportional to 27,755 and 42,323

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Solution

The third proportional to 27,755 and 42,323 is: 64,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755 : 42,323 = 42,323 : x
  2. Step 2: Convert to fraction form
    27,755/42,323 = 42,323/x
  3. Step 3: Cross multiply
    27,755x = 42,323 × 42,323
  4. Step 4: Simplify right side
    27,755x = 1,791,236,329
  5. Step 5: Solve for x
    x = 1,791,236,329/27,755
  6. Step 6: Final answer
    x = 64,537.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.