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Finding the Third Proportional to 3,119.63 and 4,348.13

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Solution

The third proportional to 3,119.63 and 4,348.13 is: 6,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.63 : 4,348.13 = 4,348.13 : x
  2. Step 2: Convert to fraction form
    3,119.63/4,348.13 = 4,348.13/x
  3. Step 3: Cross multiply
    3,119.63x = 4,348.13 × 4,348.13
  4. Step 4: Simplify right side
    3,119.63x = 18,906,191.02
  5. Step 5: Solve for x
    x = 18,906,191.02/3,119.63
  6. Step 6: Final answer
    x = 6,060.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.