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Finding the Third Proportional to 48,375 and 73,292.34

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Solution

The third proportional to 48,375 and 73,292.34 is: 111,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,375 : 73,292.34 = 73,292.34 : x
  2. Step 2: Convert to fraction form
    48,375/73,292.34 = 73,292.34/x
  3. Step 3: Cross multiply
    48,375x = 73,292.34 × 73,292.34
  4. Step 4: Simplify right side
    48,375x = 5,371,767,652.37
  5. Step 5: Solve for x
    x = 5,371,767,652.37/48,375
  6. Step 6: Final answer
    x = 111,044.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.