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Finding the Third Proportional to 48,007 and 75,311.50

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Solution

The third proportional to 48,007 and 75,311.50 is: 118,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,007 : 75,311.50 = 75,311.50 : x
  2. Step 2: Convert to fraction form
    48,007/75,311.50 = 75,311.50/x
  3. Step 3: Cross multiply
    48,007x = 75,311.50 × 75,311.50
  4. Step 4: Simplify right side
    48,007x = 5,671,822,032.25
  5. Step 5: Solve for x
    x = 5,671,822,032.25/48,007
  6. Step 6: Final answer
    x = 118,145.73

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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.