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Finding the Third Proportional to 16,466 and 24,701

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Solution

The third proportional to 16,466 and 24,701 is: 37,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466 : 24,701 = 24,701 : x
  2. Step 2: Convert to fraction form
    16,466/24,701 = 24,701/x
  3. Step 3: Cross multiply
    16,466x = 24,701 × 24,701
  4. Step 4: Simplify right side
    16,466x = 610,139,401
  5. Step 5: Solve for x
    x = 610,139,401/16,466
  6. Step 6: Final answer
    x = 37,054.50

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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.