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Finding the Third Proportional to 2,293.95 and 3,532.04

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Solution

The third proportional to 2,293.95 and 3,532.04 is: 5,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.95 : 3,532.04 = 3,532.04 : x
  2. Step 2: Convert to fraction form
    2,293.95/3,532.04 = 3,532.04/x
  3. Step 3: Cross multiply
    2,293.95x = 3,532.04 × 3,532.04
  4. Step 4: Simplify right side
    2,293.95x = 12,475,327.53
  5. Step 5: Solve for x
    x = 12,475,327.53/2,293.95
  6. Step 6: Final answer
    x = 5,438.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.