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Finding the Third Proportional to 7,185.25 and 10,498.88

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Solution

The third proportional to 7,185.25 and 10,498.88 is: 15,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.25 : 10,498.88 = 10,498.88 : x
  2. Step 2: Convert to fraction form
    7,185.25/10,498.88 = 10,498.88/x
  3. Step 3: Cross multiply
    7,185.25x = 10,498.88 × 10,498.88
  4. Step 4: Simplify right side
    7,185.25x = 110,226,376.27
  5. Step 5: Solve for x
    x = 110,226,376.27/7,185.25
  6. Step 6: Final answer
    x = 15,340.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.