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Finding the Third Proportional to 7,750.69 and 14,002.88

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Solution

The third proportional to 7,750.69 and 14,002.88 is: 25,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.69 : 14,002.88 = 14,002.88 : x
  2. Step 2: Convert to fraction form
    7,750.69/14,002.88 = 14,002.88/x
  3. Step 3: Cross multiply
    7,750.69x = 14,002.88 × 14,002.88
  4. Step 4: Simplify right side
    7,750.69x = 196,080,508.27
  5. Step 5: Solve for x
    x = 196,080,508.27/7,750.69
  6. Step 6: Final answer
    x = 25,298.47

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.