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Finding the Third Proportional to 31,334.25 and 48,541.88

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Solution

The third proportional to 31,334.25 and 48,541.88 is: 75,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,334.25 : 48,541.88 = 48,541.88 : x
  2. Step 2: Convert to fraction form
    31,334.25/48,541.88 = 48,541.88/x
  3. Step 3: Cross multiply
    31,334.25x = 48,541.88 × 48,541.88
  4. Step 4: Simplify right side
    31,334.25x = 2,356,313,628.52
  5. Step 5: Solve for x
    x = 2,356,313,628.52/31,334.25
  6. Step 6: Final answer
    x = 75,199.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.