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Finding the Third Proportional to 24,387 and 35,651.25

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Solution

The third proportional to 24,387 and 35,651.25 is: 52,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387 : 35,651.25 = 35,651.25 : x
  2. Step 2: Convert to fraction form
    24,387/35,651.25 = 35,651.25/x
  3. Step 3: Cross multiply
    24,387x = 35,651.25 × 35,651.25
  4. Step 4: Simplify right side
    24,387x = 1,271,011,626.56
  5. Step 5: Solve for x
    x = 1,271,011,626.56/24,387
  6. Step 6: Final answer
    x = 52,118.41

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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.