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Finding the Third Proportional to 9,401.06 and 20,031.19

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Solution

The third proportional to 9,401.06 and 20,031.19 is: 42,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.06 : 20,031.19 = 20,031.19 : x
  2. Step 2: Convert to fraction form
    9,401.06/20,031.19 = 20,031.19/x
  3. Step 3: Cross multiply
    9,401.06x = 20,031.19 × 20,031.19
  4. Step 4: Simplify right side
    9,401.06x = 401,248,472.66
  5. Step 5: Solve for x
    x = 401,248,472.66/9,401.06
  6. Step 6: Final answer
    x = 42,681.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.