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Finding the Third Proportional to 7,995 and 17,266.50

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Solution

The third proportional to 7,995 and 17,266.50 is: 37,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,995 : 17,266.50 = 17,266.50 : x
  2. Step 2: Convert to fraction form
    7,995/17,266.50 = 17,266.50/x
  3. Step 3: Cross multiply
    7,995x = 17,266.50 × 17,266.50
  4. Step 4: Simplify right side
    7,995x = 298,132,022.25
  5. Step 5: Solve for x
    x = 298,132,022.25/7,995
  6. Step 6: Final answer
    x = 37,289.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.