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Finding the Third Proportional to 2,300.91 and 5,572.55

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Solution

The third proportional to 2,300.91 and 5,572.55 is: 13,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.91 : 5,572.55 = 5,572.55 : x
  2. Step 2: Convert to fraction form
    2,300.91/5,572.55 = 5,572.55/x
  3. Step 3: Cross multiply
    2,300.91x = 5,572.55 × 5,572.55
  4. Step 4: Simplify right side
    2,300.91x = 31,053,278.67
  5. Step 5: Solve for x
    x = 31,053,278.67/2,300.91
  6. Step 6: Final answer
    x = 13,496.11

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.