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Finding the Third Proportional to 23,293.41 and 31,034.39

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Solution

The third proportional to 23,293.41 and 31,034.39 is: 41,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293.41 : 31,034.39 = 31,034.39 : x
  2. Step 2: Convert to fraction form
    23,293.41/31,034.39 = 31,034.39/x
  3. Step 3: Cross multiply
    23,293.41x = 31,034.39 × 31,034.39
  4. Step 4: Simplify right side
    23,293.41x = 963,133,401.47
  5. Step 5: Solve for x
    x = 963,133,401.47/23,293.41
  6. Step 6: Final answer
    x = 41,347.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.