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Finding the Third Proportional to 1,376.58 and 2,931.05

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Solution

The third proportional to 1,376.58 and 2,931.05 is: 6,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.58 : 2,931.05 = 2,931.05 : x
  2. Step 2: Convert to fraction form
    1,376.58/2,931.05 = 2,931.05/x
  3. Step 3: Cross multiply
    1,376.58x = 2,931.05 × 2,931.05
  4. Step 4: Simplify right side
    1,376.58x = 8,591,035.78
  5. Step 5: Solve for x
    x = 8,591,035.78/1,376.58
  6. Step 6: Final answer
    x = 6,240.86

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Why These Related Problems?

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