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Finding the Third Proportional to 47,148.75 and 70,723.13

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Solution

The third proportional to 47,148.75 and 70,723.13 is: 106,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148.75 : 70,723.13 = 70,723.13 : x
  2. Step 2: Convert to fraction form
    47,148.75/70,723.13 = 70,723.13/x
  3. Step 3: Cross multiply
    47,148.75x = 70,723.13 × 70,723.13
  4. Step 4: Simplify right side
    47,148.75x = 5,001,760,409.77
  5. Step 5: Solve for x
    x = 5,001,760,409.77/47,148.75
  6. Step 6: Final answer
    x = 106,084.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.