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Finding the Third Proportional to 2,919 and 3,465.75

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Solution

The third proportional to 2,919 and 3,465.75 is: 4,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919 : 3,465.75 = 3,465.75 : x
  2. Step 2: Convert to fraction form
    2,919/3,465.75 = 3,465.75/x
  3. Step 3: Cross multiply
    2,919x = 3,465.75 × 3,465.75
  4. Step 4: Simplify right side
    2,919x = 12,011,423.06
  5. Step 5: Solve for x
    x = 12,011,423.06/2,919
  6. Step 6: Final answer
    x = 4,114.91

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.