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Finding the Third Proportional to 38,874 and 59,437

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Solution

The third proportional to 38,874 and 59,437 is: 90,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874 : 59,437 = 59,437 : x
  2. Step 2: Convert to fraction form
    38,874/59,437 = 59,437/x
  3. Step 3: Cross multiply
    38,874x = 59,437 × 59,437
  4. Step 4: Simplify right side
    38,874x = 3,532,756,969
  5. Step 5: Solve for x
    x = 3,532,756,969/38,874
  6. Step 6: Final answer
    x = 90,877.12

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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.