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Finding the Third Proportional to 48,035 and 75,360

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Solution

The third proportional to 48,035 and 75,360 is: 118,228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,035 : 75,360 = 75,360 : x
  2. Step 2: Convert to fraction form
    48,035/75,360 = 75,360/x
  3. Step 3: Cross multiply
    48,035x = 75,360 × 75,360
  4. Step 4: Simplify right side
    48,035x = 5,679,129,600
  5. Step 5: Solve for x
    x = 5,679,129,600/48,035
  6. Step 6: Final answer
    x = 118,228.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.