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Finding the Third Proportional to 2,913.05 and 3,934.20

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Solution

The third proportional to 2,913.05 and 3,934.20 is: 5,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.05 : 3,934.20 = 3,934.20 : x
  2. Step 2: Convert to fraction form
    2,913.05/3,934.20 = 3,934.20/x
  3. Step 3: Cross multiply
    2,913.05x = 3,934.20 × 3,934.20
  4. Step 4: Simplify right side
    2,913.05x = 15,477,892.76
  5. Step 5: Solve for x
    x = 15,477,892.76/2,913.05
  6. Step 6: Final answer
    x = 5,313.30

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.