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Finding the Third Proportional to 1,069.45 and 1,655.23

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Solution

The third proportional to 1,069.45 and 1,655.23 is: 2,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.45 : 1,655.23 = 1,655.23 : x
  2. Step 2: Convert to fraction form
    1,069.45/1,655.23 = 1,655.23/x
  3. Step 3: Cross multiply
    1,069.45x = 1,655.23 × 1,655.23
  4. Step 4: Simplify right side
    1,069.45x = 2,739,774.97
  5. Step 5: Solve for x
    x = 2,739,774.97/1,069.45
  6. Step 6: Final answer
    x = 2,561.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.