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Finding the Third Proportional to 16,421 and 24,049.25

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Solution

The third proportional to 16,421 and 24,049.25 is: 35,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421 : 24,049.25 = 24,049.25 : x
  2. Step 2: Convert to fraction form
    16,421/24,049.25 = 24,049.25/x
  3. Step 3: Cross multiply
    16,421x = 24,049.25 × 24,049.25
  4. Step 4: Simplify right side
    16,421x = 578,366,425.56
  5. Step 5: Solve for x
    x = 578,366,425.56/16,421
  6. Step 6: Final answer
    x = 35,221.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.