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Finding the Third Proportional to 6,920.25 and 15,264.75

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Solution

The third proportional to 6,920.25 and 15,264.75 is: 33,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.25 : 15,264.75 = 15,264.75 : x
  2. Step 2: Convert to fraction form
    6,920.25/15,264.75 = 15,264.75/x
  3. Step 3: Cross multiply
    6,920.25x = 15,264.75 × 15,264.75
  4. Step 4: Simplify right side
    6,920.25x = 233,012,592.56
  5. Step 5: Solve for x
    x = 233,012,592.56/6,920.25
  6. Step 6: Final answer
    x = 33,671.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.