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Finding the Third Proportional to 5,988 and 12,789.75

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Solution

The third proportional to 5,988 and 12,789.75 is: 27,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988 : 12,789.75 = 12,789.75 : x
  2. Step 2: Convert to fraction form
    5,988/12,789.75 = 12,789.75/x
  3. Step 3: Cross multiply
    5,988x = 12,789.75 × 12,789.75
  4. Step 4: Simplify right side
    5,988x = 163,577,705.06
  5. Step 5: Solve for x
    x = 163,577,705.06/5,988
  6. Step 6: Final answer
    x = 27,317.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.