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Finding the Third Proportional to 1,710.56 and 2,595.09

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Solution

The third proportional to 1,710.56 and 2,595.09 is: 3,937.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.56 : 2,595.09 = 2,595.09 : x
  2. Step 2: Convert to fraction form
    1,710.56/2,595.09 = 2,595.09/x
  3. Step 3: Cross multiply
    1,710.56x = 2,595.09 × 2,595.09
  4. Step 4: Simplify right side
    1,710.56x = 6,734,511.57
  5. Step 5: Solve for x
    x = 6,734,511.57/1,710.56
  6. Step 6: Final answer
    x = 3,937.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.