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Finding the Third Proportional to 5,671.13 and 13,244.06

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Solution

The third proportional to 5,671.13 and 13,244.06 is: 30,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.13 : 13,244.06 = 13,244.06 : x
  2. Step 2: Convert to fraction form
    5,671.13/13,244.06 = 13,244.06/x
  3. Step 3: Cross multiply
    5,671.13x = 13,244.06 × 13,244.06
  4. Step 4: Simplify right side
    5,671.13x = 175,405,191.50
  5. Step 5: Solve for x
    x = 175,405,191.50/5,671.13
  6. Step 6: Final answer
    x = 30,929.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.