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Finding the Third Proportional to 48,129.75 and 70,006.50

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Solution

The third proportional to 48,129.75 and 70,006.50 is: 101,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,129.75 : 70,006.50 = 70,006.50 : x
  2. Step 2: Convert to fraction form
    48,129.75/70,006.50 = 70,006.50/x
  3. Step 3: Cross multiply
    48,129.75x = 70,006.50 × 70,006.50
  4. Step 4: Simplify right side
    48,129.75x = 4,900,910,042.25
  5. Step 5: Solve for x
    x = 4,900,910,042.25/48,129.75
  6. Step 6: Final answer
    x = 101,827.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.