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Finding the Third Proportional to 48,019.13 and 70,182.75

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Solution

The third proportional to 48,019.13 and 70,182.75 is: 102,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,019.13 : 70,182.75 = 70,182.75 : x
  2. Step 2: Convert to fraction form
    48,019.13/70,182.75 = 70,182.75/x
  3. Step 3: Cross multiply
    48,019.13x = 70,182.75 × 70,182.75
  4. Step 4: Simplify right side
    48,019.13x = 4,925,618,397.56
  5. Step 5: Solve for x
    x = 4,925,618,397.56/48,019.13
  6. Step 6: Final answer
    x = 102,576.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.