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Finding the Third Proportional to 31,513.50 and 48,789

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Solution

The third proportional to 31,513.50 and 48,789 is: 75,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513.50 : 48,789 = 48,789 : x
  2. Step 2: Convert to fraction form
    31,513.50/48,789 = 48,789/x
  3. Step 3: Cross multiply
    31,513.50x = 48,789 × 48,789
  4. Step 4: Simplify right side
    31,513.50x = 2,380,366,521
  5. Step 5: Solve for x
    x = 2,380,366,521/31,513.50
  6. Step 6: Final answer
    x = 75,534.82

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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.