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Finding the Third Proportional to 4,689.75 and 6,853.50

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Solution

The third proportional to 4,689.75 and 6,853.50 is: 10,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.75 : 6,853.50 = 6,853.50 : x
  2. Step 2: Convert to fraction form
    4,689.75/6,853.50 = 6,853.50/x
  3. Step 3: Cross multiply
    4,689.75x = 6,853.50 × 6,853.50
  4. Step 4: Simplify right side
    4,689.75x = 46,970,462.25
  5. Step 5: Solve for x
    x = 46,970,462.25/4,689.75
  6. Step 6: Final answer
    x = 10,015.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.