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Finding the Third Proportional to 1,987.31 and 3,146.34

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Solution

The third proportional to 1,987.31 and 3,146.34 is: 4,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.31 : 3,146.34 = 3,146.34 : x
  2. Step 2: Convert to fraction form
    1,987.31/3,146.34 = 3,146.34/x
  3. Step 3: Cross multiply
    1,987.31x = 3,146.34 × 3,146.34
  4. Step 4: Simplify right side
    1,987.31x = 9,899,478.99
  5. Step 5: Solve for x
    x = 9,899,478.99/1,987.31
  6. Step 6: Final answer
    x = 4,981.34

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.