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Finding the Third Proportional to 31,128 and 48,279.50

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Solution

The third proportional to 31,128 and 48,279.50 is: 74,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128 : 48,279.50 = 48,279.50 : x
  2. Step 2: Convert to fraction form
    31,128/48,279.50 = 48,279.50/x
  3. Step 3: Cross multiply
    31,128x = 48,279.50 × 48,279.50
  4. Step 4: Simplify right side
    31,128x = 2,330,910,120.25
  5. Step 5: Solve for x
    x = 2,330,910,120.25/31,128
  6. Step 6: Final answer
    x = 74,881.46

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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.