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Finding the Third Proportional to 9,031.50 and 19,395

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Solution

The third proportional to 9,031.50 and 19,395 is: 41,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.50 : 19,395 = 19,395 : x
  2. Step 2: Convert to fraction form
    9,031.50/19,395 = 19,395/x
  3. Step 3: Cross multiply
    9,031.50x = 19,395 × 19,395
  4. Step 4: Simplify right side
    9,031.50x = 376,166,025
  5. Step 5: Solve for x
    x = 376,166,025/9,031.50
  6. Step 6: Final answer
    x = 41,650.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.