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Finding the Third Proportional to 3,434.91 and 7,314.05

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Solution

The third proportional to 3,434.91 and 7,314.05 is: 15,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.91 : 7,314.05 = 7,314.05 : x
  2. Step 2: Convert to fraction form
    3,434.91/7,314.05 = 7,314.05/x
  3. Step 3: Cross multiply
    3,434.91x = 7,314.05 × 7,314.05
  4. Step 4: Simplify right side
    3,434.91x = 53,495,281.69
  5. Step 5: Solve for x
    x = 53,495,281.69/3,434.91
  6. Step 6: Final answer
    x = 15,574.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.