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Finding the Third Proportional to 48,027 and 70,483

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Solution

The third proportional to 48,027 and 70,483 is: 103,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,027 : 70,483 = 70,483 : x
  2. Step 2: Convert to fraction form
    48,027/70,483 = 70,483/x
  3. Step 3: Cross multiply
    48,027x = 70,483 × 70,483
  4. Step 4: Simplify right side
    48,027x = 4,967,853,289
  5. Step 5: Solve for x
    x = 4,967,853,289/48,027
  6. Step 6: Final answer
    x = 103,438.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.