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Finding the Third Proportional to 2,031.33 and 4,345.52

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Solution

The third proportional to 2,031.33 and 4,345.52 is: 9,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.33 : 4,345.52 = 4,345.52 : x
  2. Step 2: Convert to fraction form
    2,031.33/4,345.52 = 4,345.52/x
  3. Step 3: Cross multiply
    2,031.33x = 4,345.52 × 4,345.52
  4. Step 4: Simplify right side
    2,031.33x = 18,883,573.95
  5. Step 5: Solve for x
    x = 18,883,573.95/2,031.33
  6. Step 6: Final answer
    x = 9,296.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.