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Finding the Third Proportional to 24,271 and 36,578

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Solution

The third proportional to 24,271 and 36,578 is: 55,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271 : 36,578 = 36,578 : x
  2. Step 2: Convert to fraction form
    24,271/36,578 = 36,578/x
  3. Step 3: Cross multiply
    24,271x = 36,578 × 36,578
  4. Step 4: Simplify right side
    24,271x = 1,337,950,084
  5. Step 5: Solve for x
    x = 1,337,950,084/24,271
  6. Step 6: Final answer
    x = 55,125.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.