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Finding the Third Proportional to 6,752.53 and 14,724.28

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Solution

The third proportional to 6,752.53 and 14,724.28 is: 32,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.53 : 14,724.28 = 14,724.28 : x
  2. Step 2: Convert to fraction form
    6,752.53/14,724.28 = 14,724.28/x
  3. Step 3: Cross multiply
    6,752.53x = 14,724.28 × 14,724.28
  4. Step 4: Simplify right side
    6,752.53x = 216,804,458.33
  5. Step 5: Solve for x
    x = 216,804,458.33/6,752.53
  6. Step 6: Final answer
    x = 32,107.14

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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.