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Finding the Third Proportional to 31,214 and 48,029

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Solution

The third proportional to 31,214 and 48,029 is: 73,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214 : 48,029 = 48,029 : x
  2. Step 2: Convert to fraction form
    31,214/48,029 = 48,029/x
  3. Step 3: Cross multiply
    31,214x = 48,029 × 48,029
  4. Step 4: Simplify right side
    31,214x = 2,306,784,841
  5. Step 5: Solve for x
    x = 2,306,784,841/31,214
  6. Step 6: Final answer
    x = 73,902.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.