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Finding the Third Proportional to 5,961.94 and 9,429.75

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Solution

The third proportional to 5,961.94 and 9,429.75 is: 14,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.94 : 9,429.75 = 9,429.75 : x
  2. Step 2: Convert to fraction form
    5,961.94/9,429.75 = 9,429.75/x
  3. Step 3: Cross multiply
    5,961.94x = 9,429.75 × 9,429.75
  4. Step 4: Simplify right side
    5,961.94x = 88,920,185.06
  5. Step 5: Solve for x
    x = 88,920,185.06/5,961.94
  6. Step 6: Final answer
    x = 14,914.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.