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Finding the Third Proportional to 16,390 and 24,601

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Solution

The third proportional to 16,390 and 24,601 is: 36,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390 : 24,601 = 24,601 : x
  2. Step 2: Convert to fraction form
    16,390/24,601 = 24,601/x
  3. Step 3: Cross multiply
    16,390x = 24,601 × 24,601
  4. Step 4: Simplify right side
    16,390x = 605,209,201
  5. Step 5: Solve for x
    x = 605,209,201/16,390
  6. Step 6: Final answer
    x = 36,925.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.