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Finding the Third Proportional to 1,114.31 and 1,710.84

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Solution

The third proportional to 1,114.31 and 1,710.84 is: 2,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.31 : 1,710.84 = 1,710.84 : x
  2. Step 2: Convert to fraction form
    1,114.31/1,710.84 = 1,710.84/x
  3. Step 3: Cross multiply
    1,114.31x = 1,710.84 × 1,710.84
  4. Step 4: Simplify right side
    1,114.31x = 2,926,986.34
  5. Step 5: Solve for x
    x = 2,926,986.34/1,114.31
  6. Step 6: Final answer
    x = 2,626.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.