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Finding the Third Proportional to 1,495.25 and 2,140.38

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Solution

The third proportional to 1,495.25 and 2,140.38 is: 3,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.25 : 2,140.38 = 2,140.38 : x
  2. Step 2: Convert to fraction form
    1,495.25/2,140.38 = 2,140.38/x
  3. Step 3: Cross multiply
    1,495.25x = 2,140.38 × 2,140.38
  4. Step 4: Simplify right side
    1,495.25x = 4,581,205.14
  5. Step 5: Solve for x
    x = 4,581,205.14/1,495.25
  6. Step 6: Final answer
    x = 3,063.84

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.