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Finding the Third Proportional to 1,210.69 and 1,868.63

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Solution

The third proportional to 1,210.69 and 1,868.63 is: 2,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.69 : 1,868.63 = 1,868.63 : x
  2. Step 2: Convert to fraction form
    1,210.69/1,868.63 = 1,868.63/x
  3. Step 3: Cross multiply
    1,210.69x = 1,868.63 × 1,868.63
  4. Step 4: Simplify right side
    1,210.69x = 3,491,759.39
  5. Step 5: Solve for x
    x = 3,491,759.39/1,210.69
  6. Step 6: Final answer
    x = 2,884.11

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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.