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Finding the Third Proportional to 16,470 and 24,661

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Solution

The third proportional to 16,470 and 24,661 is: 36,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470 : 24,661 = 24,661 : x
  2. Step 2: Convert to fraction form
    16,470/24,661 = 24,661/x
  3. Step 3: Cross multiply
    16,470x = 24,661 × 24,661
  4. Step 4: Simplify right side
    16,470x = 608,164,921
  5. Step 5: Solve for x
    x = 608,164,921/16,470
  6. Step 6: Final answer
    x = 36,925.62

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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.