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Finding the Third Proportional to 1,347.26 and 2,931.82

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Solution

The third proportional to 1,347.26 and 2,931.82 is: 6,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.26 : 2,931.82 = 2,931.82 : x
  2. Step 2: Convert to fraction form
    1,347.26/2,931.82 = 2,931.82/x
  3. Step 3: Cross multiply
    1,347.26x = 2,931.82 × 2,931.82
  4. Step 4: Simplify right side
    1,347.26x = 8,595,570.34
  5. Step 5: Solve for x
    x = 8,595,570.34/1,347.26
  6. Step 6: Final answer
    x = 6,380.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.