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Finding the Third Proportional to 9,382.50 and 20,407.50

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Solution

The third proportional to 9,382.50 and 20,407.50 is: 44,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.50 : 20,407.50 = 20,407.50 : x
  2. Step 2: Convert to fraction form
    9,382.50/20,407.50 = 20,407.50/x
  3. Step 3: Cross multiply
    9,382.50x = 20,407.50 × 20,407.50
  4. Step 4: Simplify right side
    9,382.50x = 416,466,056.25
  5. Step 5: Solve for x
    x = 416,466,056.25/9,382.50
  6. Step 6: Final answer
    x = 44,387.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.