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Finding the Third Proportional to 48,285 and 74,614.50

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Solution

The third proportional to 48,285 and 74,614.50 is: 115,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,285 : 74,614.50 = 74,614.50 : x
  2. Step 2: Convert to fraction form
    48,285/74,614.50 = 74,614.50/x
  3. Step 3: Cross multiply
    48,285x = 74,614.50 × 74,614.50
  4. Step 4: Simplify right side
    48,285x = 5,567,323,610.25
  5. Step 5: Solve for x
    x = 5,567,323,610.25/48,285
  6. Step 6: Final answer
    x = 115,301.31

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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.