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Finding the Third Proportional to 7,276.71 and 15,591.23

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Solution

The third proportional to 7,276.71 and 15,591.23 is: 33,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.71 : 15,591.23 = 15,591.23 : x
  2. Step 2: Convert to fraction form
    7,276.71/15,591.23 = 15,591.23/x
  3. Step 3: Cross multiply
    7,276.71x = 15,591.23 × 15,591.23
  4. Step 4: Simplify right side
    7,276.71x = 243,086,589.34
  5. Step 5: Solve for x
    x = 243,086,589.34/7,276.71
  6. Step 6: Final answer
    x = 33,406.11

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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.