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Finding the Third Proportional to 7,999.50 and 18,597

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Solution

The third proportional to 7,999.50 and 18,597 is: 43,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.50 : 18,597 = 18,597 : x
  2. Step 2: Convert to fraction form
    7,999.50/18,597 = 18,597/x
  3. Step 3: Cross multiply
    7,999.50x = 18,597 × 18,597
  4. Step 4: Simplify right side
    7,999.50x = 345,848,409
  5. Step 5: Solve for x
    x = 345,848,409/7,999.50
  6. Step 6: Final answer
    x = 43,233.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.