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Finding the Third Proportional to 20,298.09 and 31,552.03

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Solution

The third proportional to 20,298.09 and 31,552.03 is: 49,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.09 : 31,552.03 = 31,552.03 : x
  2. Step 2: Convert to fraction form
    20,298.09/31,552.03 = 31,552.03/x
  3. Step 3: Cross multiply
    20,298.09x = 31,552.03 × 31,552.03
  4. Step 4: Simplify right side
    20,298.09x = 995,530,676.00
  5. Step 5: Solve for x
    x = 995,530,676.00/20,298.09
  6. Step 6: Final answer
    x = 49,045.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.