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Finding the Third Proportional to 27,754 and 42,559

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Solution

The third proportional to 27,754 and 42,559 is: 65,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754 : 42,559 = 42,559 : x
  2. Step 2: Convert to fraction form
    27,754/42,559 = 42,559/x
  3. Step 3: Cross multiply
    27,754x = 42,559 × 42,559
  4. Step 4: Simplify right side
    27,754x = 1,811,268,481
  5. Step 5: Solve for x
    x = 1,811,268,481/27,754
  6. Step 6: Final answer
    x = 65,261.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.