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Finding the Third Proportional to 1,214.58 and 2,595.59

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Solution

The third proportional to 1,214.58 and 2,595.59 is: 5,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.58 : 2,595.59 = 2,595.59 : x
  2. Step 2: Convert to fraction form
    1,214.58/2,595.59 = 2,595.59/x
  3. Step 3: Cross multiply
    1,214.58x = 2,595.59 × 2,595.59
  4. Step 4: Simplify right side
    1,214.58x = 6,737,066.36
  5. Step 5: Solve for x
    x = 6,737,066.36/1,214.58
  6. Step 6: Final answer
    x = 5,546.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.