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Finding the Third Proportional to 48,288 and 74,619

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Solution

The third proportional to 48,288 and 74,619 is: 115,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,288 : 74,619 = 74,619 : x
  2. Step 2: Convert to fraction form
    48,288/74,619 = 74,619/x
  3. Step 3: Cross multiply
    48,288x = 74,619 × 74,619
  4. Step 4: Simplify right side
    48,288x = 5,567,995,161
  5. Step 5: Solve for x
    x = 5,567,995,161/48,288
  6. Step 6: Final answer
    x = 115,308.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.