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Finding the Third Proportional to 1,069.31 and 2,298.19

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Solution

The third proportional to 1,069.31 and 2,298.19 is: 4,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.31 : 2,298.19 = 2,298.19 : x
  2. Step 2: Convert to fraction form
    1,069.31/2,298.19 = 2,298.19/x
  3. Step 3: Cross multiply
    1,069.31x = 2,298.19 × 2,298.19
  4. Step 4: Simplify right side
    1,069.31x = 5,281,665.79
  5. Step 5: Solve for x
    x = 5,281,665.79/1,069.31
  6. Step 6: Final answer
    x = 4,939.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.