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Finding the Third Proportional to 16,290 and 24,748

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Solution

The third proportional to 16,290 and 24,748 is: 37,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290 : 24,748 = 24,748 : x
  2. Step 2: Convert to fraction form
    16,290/24,748 = 24,748/x
  3. Step 3: Cross multiply
    16,290x = 24,748 × 24,748
  4. Step 4: Simplify right side
    16,290x = 612,463,504
  5. Step 5: Solve for x
    x = 612,463,504/16,290
  6. Step 6: Final answer
    x = 37,597.51

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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.