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Finding the Third Proportional to 2,534.60 and 3,390.40

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Solution

The third proportional to 2,534.60 and 3,390.40 is: 4,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.60 : 3,390.40 = 3,390.40 : x
  2. Step 2: Convert to fraction form
    2,534.60/3,390.40 = 3,390.40/x
  3. Step 3: Cross multiply
    2,534.60x = 3,390.40 × 3,390.40
  4. Step 4: Simplify right side
    2,534.60x = 11,494,801.57
  5. Step 5: Solve for x
    x = 11,494,801.57/2,534.60
  6. Step 6: Final answer
    x = 4,535.15

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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.