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Finding the Third Proportional to 1,069.88 and 2,347.31

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Solution

The third proportional to 1,069.88 and 2,347.31 is: 5,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.88 : 2,347.31 = 2,347.31 : x
  2. Step 2: Convert to fraction form
    1,069.88/2,347.31 = 2,347.31/x
  3. Step 3: Cross multiply
    1,069.88x = 2,347.31 × 2,347.31
  4. Step 4: Simplify right side
    1,069.88x = 5,509,875.97
  5. Step 5: Solve for x
    x = 5,509,875.97/1,069.88
  6. Step 6: Final answer
    x = 5,150.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.