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Finding the Third Proportional to 3,214.69 and 3,655.13

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Solution

The third proportional to 3,214.69 and 3,655.13 is: 4,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.69 : 3,655.13 = 3,655.13 : x
  2. Step 2: Convert to fraction form
    3,214.69/3,655.13 = 3,655.13/x
  3. Step 3: Cross multiply
    3,214.69x = 3,655.13 × 3,655.13
  4. Step 4: Simplify right side
    3,214.69x = 13,359,938.77
  5. Step 5: Solve for x
    x = 13,359,938.77/3,214.69
  6. Step 6: Final answer
    x = 4,155.91

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.