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Finding the Third Proportional to 1,495.97 and 2,187.95

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Solution

The third proportional to 1,495.97 and 2,187.95 is: 3,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.97 : 2,187.95 = 2,187.95 : x
  2. Step 2: Convert to fraction form
    1,495.97/2,187.95 = 2,187.95/x
  3. Step 3: Cross multiply
    1,495.97x = 2,187.95 × 2,187.95
  4. Step 4: Simplify right side
    1,495.97x = 4,787,121.78
  5. Step 5: Solve for x
    x = 4,787,121.78/1,495.97
  6. Step 6: Final answer
    x = 3,200.01

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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.