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Finding the Third Proportional to 1,106.31 and 2,387.76

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Solution

The third proportional to 1,106.31 and 2,387.76 is: 5,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.31 : 2,387.76 = 2,387.76 : x
  2. Step 2: Convert to fraction form
    1,106.31/2,387.76 = 2,387.76/x
  3. Step 3: Cross multiply
    1,106.31x = 2,387.76 × 2,387.76
  4. Step 4: Simplify right side
    1,106.31x = 5,701,396.70
  5. Step 5: Solve for x
    x = 5,701,396.70/1,106.31
  6. Step 6: Final answer
    x = 5,153.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.