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Finding the Third Proportional to 16,069 and 24,715

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Solution

The third proportional to 16,069 and 24,715 is: 38,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069 : 24,715 = 24,715 : x
  2. Step 2: Convert to fraction form
    16,069/24,715 = 24,715/x
  3. Step 3: Cross multiply
    16,069x = 24,715 × 24,715
  4. Step 4: Simplify right side
    16,069x = 610,831,225
  5. Step 5: Solve for x
    x = 610,831,225/16,069
  6. Step 6: Final answer
    x = 38,013.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.