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Finding the Third Proportional to 2,348.06 and 5,552.91

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Solution

The third proportional to 2,348.06 and 5,552.91 is: 13,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.06 : 5,552.91 = 5,552.91 : x
  2. Step 2: Convert to fraction form
    2,348.06/5,552.91 = 5,552.91/x
  3. Step 3: Cross multiply
    2,348.06x = 5,552.91 × 5,552.91
  4. Step 4: Simplify right side
    2,348.06x = 30,834,767.82
  5. Step 5: Solve for x
    x = 30,834,767.82/2,348.06
  6. Step 6: Final answer
    x = 13,132.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.