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Finding the Third Proportional to 48,110.75 and 71,653

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Solution

The third proportional to 48,110.75 and 71,653 is: 106,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,110.75 : 71,653 = 71,653 : x
  2. Step 2: Convert to fraction form
    48,110.75/71,653 = 71,653/x
  3. Step 3: Cross multiply
    48,110.75x = 71,653 × 71,653
  4. Step 4: Simplify right side
    48,110.75x = 5,134,152,409
  5. Step 5: Solve for x
    x = 5,134,152,409/48,110.75
  6. Step 6: Final answer
    x = 106,715.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.