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Finding the Third Proportional to 24,549 and 38,403

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Solution

The third proportional to 24,549 and 38,403 is: 60,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549 : 38,403 = 38,403 : x
  2. Step 2: Convert to fraction form
    24,549/38,403 = 38,403/x
  3. Step 3: Cross multiply
    24,549x = 38,403 × 38,403
  4. Step 4: Simplify right side
    24,549x = 1,474,790,409
  5. Step 5: Solve for x
    x = 1,474,790,409/24,549
  6. Step 6: Final answer
    x = 60,075.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.