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Finding the Third Proportional to 4,569.31 and 6,887.75

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Solution

The third proportional to 4,569.31 and 6,887.75 is: 10,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.31 : 6,887.75 = 6,887.75 : x
  2. Step 2: Convert to fraction form
    4,569.31/6,887.75 = 6,887.75/x
  3. Step 3: Cross multiply
    4,569.31x = 6,887.75 × 6,887.75
  4. Step 4: Simplify right side
    4,569.31x = 47,441,100.06
  5. Step 5: Solve for x
    x = 47,441,100.06/4,569.31
  6. Step 6: Final answer
    x = 10,382.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.