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Finding the Third Proportional to 10,352.50 and 22,344.13

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Solution

The third proportional to 10,352.50 and 22,344.13 is: 48,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.50 : 22,344.13 = 22,344.13 : x
  2. Step 2: Convert to fraction form
    10,352.50/22,344.13 = 22,344.13/x
  3. Step 3: Cross multiply
    10,352.50x = 22,344.13 × 22,344.13
  4. Step 4: Simplify right side
    10,352.50x = 499,259,922.02
  5. Step 5: Solve for x
    x = 499,259,922.02/10,352.50
  6. Step 6: Final answer
    x = 48,226.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.