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Finding the Third Proportional to 4,475.25 and 6,959.25

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Solution

The third proportional to 4,475.25 and 6,959.25 is: 10,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.25 : 6,959.25 = 6,959.25 : x
  2. Step 2: Convert to fraction form
    4,475.25/6,959.25 = 6,959.25/x
  3. Step 3: Cross multiply
    4,475.25x = 6,959.25 × 6,959.25
  4. Step 4: Simplify right side
    4,475.25x = 48,431,160.56
  5. Step 5: Solve for x
    x = 48,431,160.56/4,475.25
  6. Step 6: Final answer
    x = 10,822.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.