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Finding the Third Proportional to 24,392 and 36,484

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Solution

The third proportional to 24,392 and 36,484 is: 54,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392 : 36,484 = 36,484 : x
  2. Step 2: Convert to fraction form
    24,392/36,484 = 36,484/x
  3. Step 3: Cross multiply
    24,392x = 36,484 × 36,484
  4. Step 4: Simplify right side
    24,392x = 1,331,082,256
  5. Step 5: Solve for x
    x = 1,331,082,256/24,392
  6. Step 6: Final answer
    x = 54,570.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.