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Finding the Third Proportional to 1,197.91 and 1,859.52

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Solution

The third proportional to 1,197.91 and 1,859.52 is: 2,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.91 : 1,859.52 = 1,859.52 : x
  2. Step 2: Convert to fraction form
    1,197.91/1,859.52 = 1,859.52/x
  3. Step 3: Cross multiply
    1,197.91x = 1,859.52 × 1,859.52
  4. Step 4: Simplify right side
    1,197.91x = 3,457,812.89
  5. Step 5: Solve for x
    x = 3,457,812.89/1,197.91
  6. Step 6: Final answer
    x = 2,886.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.