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Finding the Third Proportional to 48,463.13 and 70,815

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Solution

The third proportional to 48,463.13 and 70,815 is: 103,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,463.13 : 70,815 = 70,815 : x
  2. Step 2: Convert to fraction form
    48,463.13/70,815 = 70,815/x
  3. Step 3: Cross multiply
    48,463.13x = 70,815 × 70,815
  4. Step 4: Simplify right side
    48,463.13x = 5,014,764,225
  5. Step 5: Solve for x
    x = 5,014,764,225/48,463.13
  6. Step 6: Final answer
    x = 103,475.87

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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.