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Finding the Third Proportional to 1,703.18 and 2,288.74

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Solution

The third proportional to 1,703.18 and 2,288.74 is: 3,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.18 : 2,288.74 = 2,288.74 : x
  2. Step 2: Convert to fraction form
    1,703.18/2,288.74 = 2,288.74/x
  3. Step 3: Cross multiply
    1,703.18x = 2,288.74 × 2,288.74
  4. Step 4: Simplify right side
    1,703.18x = 5,238,340.80
  5. Step 5: Solve for x
    x = 5,238,340.80/1,703.18
  6. Step 6: Final answer
    x = 3,075.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.