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Finding the Third Proportional to 22,065.75 and 45,407.25

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Solution

The third proportional to 22,065.75 and 45,407.25 is: 93,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,065.75 : 45,407.25 = 45,407.25 : x
  2. Step 2: Convert to fraction form
    22,065.75/45,407.25 = 45,407.25/x
  3. Step 3: Cross multiply
    22,065.75x = 45,407.25 × 45,407.25
  4. Step 4: Simplify right side
    22,065.75x = 2,061,818,352.56
  5. Step 5: Solve for x
    x = 2,061,818,352.56/22,065.75
  6. Step 6: Final answer
    x = 93,439.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.