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Finding the Third Proportional to 23,017.50 and 60,922.13

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Solution

The third proportional to 23,017.50 and 60,922.13 is: 161,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,017.50 : 60,922.13 = 60,922.13 : x
  2. Step 2: Convert to fraction form
    23,017.50/60,922.13 = 60,922.13/x
  3. Step 3: Cross multiply
    23,017.50x = 60,922.13 × 60,922.13
  4. Step 4: Simplify right side
    23,017.50x = 3,711,505,314.52
  5. Step 5: Solve for x
    x = 3,711,505,314.52/23,017.50
  6. Step 6: Final answer
    x = 161,247.11

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.