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Finding the Third Proportional to 2,215.41 and 3,569.34

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Solution

The third proportional to 2,215.41 and 3,569.34 is: 5,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.41 : 3,569.34 = 3,569.34 : x
  2. Step 2: Convert to fraction form
    2,215.41/3,569.34 = 3,569.34/x
  3. Step 3: Cross multiply
    2,215.41x = 3,569.34 × 3,569.34
  4. Step 4: Simplify right side
    2,215.41x = 12,740,214.81
  5. Step 5: Solve for x
    x = 12,740,214.81/2,215.41
  6. Step 6: Final answer
    x = 5,750.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.