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Finding the Third Proportional to 38,512.13 and 57,510

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Solution

The third proportional to 38,512.13 and 57,510 is: 85,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.13 : 57,510 = 57,510 : x
  2. Step 2: Convert to fraction form
    38,512.13/57,510 = 57,510/x
  3. Step 3: Cross multiply
    38,512.13x = 57,510 × 57,510
  4. Step 4: Simplify right side
    38,512.13x = 3,307,400,100
  5. Step 5: Solve for x
    x = 3,307,400,100/38,512.13
  6. Step 6: Final answer
    x = 85,879.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.