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Finding the Third Proportional to 16,605 and 24,671

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Solution

The third proportional to 16,605 and 24,671 is: 36,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,605 : 24,671 = 24,671 : x
  2. Step 2: Convert to fraction form
    16,605/24,671 = 24,671/x
  3. Step 3: Cross multiply
    16,605x = 24,671 × 24,671
  4. Step 4: Simplify right side
    16,605x = 608,658,241
  5. Step 5: Solve for x
    x = 608,658,241/16,605
  6. Step 6: Final answer
    x = 36,655.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.