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Finding the Third Proportional to 16,312 and 24,751

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Solution

The third proportional to 16,312 and 24,751 is: 37,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312 : 24,751 = 24,751 : x
  2. Step 2: Convert to fraction form
    16,312/24,751 = 24,751/x
  3. Step 3: Cross multiply
    16,312x = 24,751 × 24,751
  4. Step 4: Simplify right side
    16,312x = 612,612,001
  5. Step 5: Solve for x
    x = 612,612,001/16,312
  6. Step 6: Final answer
    x = 37,555.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.