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Finding the Third Proportional to 24,024 and 36,324

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Solution

The third proportional to 24,024 and 36,324 is: 54,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,024 : 36,324 = 36,324 : x
  2. Step 2: Convert to fraction form
    24,024/36,324 = 36,324/x
  3. Step 3: Cross multiply
    24,024x = 36,324 × 36,324
  4. Step 4: Simplify right side
    24,024x = 1,319,432,976
  5. Step 5: Solve for x
    x = 1,319,432,976/24,024
  6. Step 6: Final answer
    x = 54,921.45

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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.