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Finding the Third Proportional to 22,059 and 32,440.50

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Solution

The third proportional to 22,059 and 32,440.50 is: 47,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,059 : 32,440.50 = 32,440.50 : x
  2. Step 2: Convert to fraction form
    22,059/32,440.50 = 32,440.50/x
  3. Step 3: Cross multiply
    22,059x = 32,440.50 × 32,440.50
  4. Step 4: Simplify right side
    22,059x = 1,052,386,040.25
  5. Step 5: Solve for x
    x = 1,052,386,040.25/22,059
  6. Step 6: Final answer
    x = 47,707.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.