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Finding the Third Proportional to 24,512 and 36,948

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Solution

The third proportional to 24,512 and 36,948 is: 55,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512 : 36,948 = 36,948 : x
  2. Step 2: Convert to fraction form
    24,512/36,948 = 36,948/x
  3. Step 3: Cross multiply
    24,512x = 36,948 × 36,948
  4. Step 4: Simplify right side
    24,512x = 1,365,154,704
  5. Step 5: Solve for x
    x = 1,365,154,704/24,512
  6. Step 6: Final answer
    x = 55,693.32

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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.