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Finding the Third Proportional to 24,264 and 35,600

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Solution

The third proportional to 24,264 and 35,600 is: 52,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264 : 35,600 = 35,600 : x
  2. Step 2: Convert to fraction form
    24,264/35,600 = 35,600/x
  3. Step 3: Cross multiply
    24,264x = 35,600 × 35,600
  4. Step 4: Simplify right side
    24,264x = 1,267,360,000
  5. Step 5: Solve for x
    x = 1,267,360,000/24,264
  6. Step 6: Final answer
    x = 52,232.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.