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Finding the Third Proportional to 1,512.84 and 3,412.55

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Solution

The third proportional to 1,512.84 and 3,412.55 is: 7,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.84 : 3,412.55 = 3,412.55 : x
  2. Step 2: Convert to fraction form
    1,512.84/3,412.55 = 3,412.55/x
  3. Step 3: Cross multiply
    1,512.84x = 3,412.55 × 3,412.55
  4. Step 4: Simplify right side
    1,512.84x = 11,645,476.17
  5. Step 5: Solve for x
    x = 11,645,476.17/1,512.84
  6. Step 6: Final answer
    x = 7,697.74

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.