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Finding the Third Proportional to 9,031.75 and 19,592.38

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Solution

The third proportional to 9,031.75 and 19,592.38 is: 42,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.75 : 19,592.38 = 19,592.38 : x
  2. Step 2: Convert to fraction form
    9,031.75/19,592.38 = 19,592.38/x
  3. Step 3: Cross multiply
    9,031.75x = 19,592.38 × 19,592.38
  4. Step 4: Simplify right side
    9,031.75x = 383,861,158.14
  5. Step 5: Solve for x
    x = 383,861,158.14/9,031.75
  6. Step 6: Final answer
    x = 42,501.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.