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Finding the Third Proportional to 27,252 and 48,030.75

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Solution

The third proportional to 27,252 and 48,030.75 is: 84,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,252 : 48,030.75 = 48,030.75 : x
  2. Step 2: Convert to fraction form
    27,252/48,030.75 = 48,030.75/x
  3. Step 3: Cross multiply
    27,252x = 48,030.75 × 48,030.75
  4. Step 4: Simplify right side
    27,252x = 2,306,952,945.56
  5. Step 5: Solve for x
    x = 2,306,952,945.56/27,252
  6. Step 6: Final answer
    x = 84,652.61

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.