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Finding the Third Proportional to 2,320.88 and 5,160.94

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Solution

The third proportional to 2,320.88 and 5,160.94 is: 11,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.88 : 5,160.94 = 5,160.94 : x
  2. Step 2: Convert to fraction form
    2,320.88/5,160.94 = 5,160.94/x
  3. Step 3: Cross multiply
    2,320.88x = 5,160.94 × 5,160.94
  4. Step 4: Simplify right side
    2,320.88x = 26,635,275.88
  5. Step 5: Solve for x
    x = 26,635,275.88/2,320.88
  6. Step 6: Final answer
    x = 11,476.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.