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Finding the Third Proportional to 2,710.55 and 5,602.92

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Solution

The third proportional to 2,710.55 and 5,602.92 is: 11,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.55 : 5,602.92 = 5,602.92 : x
  2. Step 2: Convert to fraction form
    2,710.55/5,602.92 = 5,602.92/x
  3. Step 3: Cross multiply
    2,710.55x = 5,602.92 × 5,602.92
  4. Step 4: Simplify right side
    2,710.55x = 31,392,733.54
  5. Step 5: Solve for x
    x = 31,392,733.54/2,710.55
  6. Step 6: Final answer
    x = 11,581.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.