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Finding the Third Proportional to 48,803.50 and 66,293

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Solution

The third proportional to 48,803.50 and 66,293 is: 90,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,803.50 : 66,293 = 66,293 : x
  2. Step 2: Convert to fraction form
    48,803.50/66,293 = 66,293/x
  3. Step 3: Cross multiply
    48,803.50x = 66,293 × 66,293
  4. Step 4: Simplify right side
    48,803.50x = 4,394,761,849
  5. Step 5: Solve for x
    x = 4,394,761,849/48,803.50
  6. Step 6: Final answer
    x = 90,050.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.