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Finding the Third Proportional to 7,184.25 and 11,095.88

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Solution

The third proportional to 7,184.25 and 11,095.88 is: 17,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.25 : 11,095.88 = 11,095.88 : x
  2. Step 2: Convert to fraction form
    7,184.25/11,095.88 = 11,095.88/x
  3. Step 3: Cross multiply
    7,184.25x = 11,095.88 × 11,095.88
  4. Step 4: Simplify right side
    7,184.25x = 123,118,442.02
  5. Step 5: Solve for x
    x = 123,118,442.02/7,184.25
  6. Step 6: Final answer
    x = 17,137.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.