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Finding the Third Proportional to 25,128 and 36,942

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Solution

The third proportional to 25,128 and 36,942 is: 54,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,128 : 36,942 = 36,942 : x
  2. Step 2: Convert to fraction form
    25,128/36,942 = 36,942/x
  3. Step 3: Cross multiply
    25,128x = 36,942 × 36,942
  4. Step 4: Simplify right side
    25,128x = 1,364,711,364
  5. Step 5: Solve for x
    x = 1,364,711,364/25,128
  6. Step 6: Final answer
    x = 54,310.39

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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.