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Finding the Third Proportional to 10,342.50 and 22,324.88

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Solution

The third proportional to 10,342.50 and 22,324.88 is: 48,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.50 : 22,324.88 = 22,324.88 : x
  2. Step 2: Convert to fraction form
    10,342.50/22,324.88 = 22,324.88/x
  3. Step 3: Cross multiply
    10,342.50x = 22,324.88 × 22,324.88
  4. Step 4: Simplify right side
    10,342.50x = 498,400,043.77
  5. Step 5: Solve for x
    x = 498,400,043.77/10,342.50
  6. Step 6: Final answer
    x = 48,189.51

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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.