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Finding the Third Proportional to 15,990 and 22,713

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Solution

The third proportional to 15,990 and 22,713 is: 32,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,990 : 22,713 = 22,713 : x
  2. Step 2: Convert to fraction form
    15,990/22,713 = 22,713/x
  3. Step 3: Cross multiply
    15,990x = 22,713 × 22,713
  4. Step 4: Simplify right side
    15,990x = 515,880,369
  5. Step 5: Solve for x
    x = 515,880,369/15,990
  6. Step 6: Final answer
    x = 32,262.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.