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Finding the Third Proportional to 9,187 and 20,086

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Solution

The third proportional to 9,187 and 20,086 is: 43,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187 : 20,086 = 20,086 : x
  2. Step 2: Convert to fraction form
    9,187/20,086 = 20,086/x
  3. Step 3: Cross multiply
    9,187x = 20,086 × 20,086
  4. Step 4: Simplify right side
    9,187x = 403,447,396
  5. Step 5: Solve for x
    x = 403,447,396/9,187
  6. Step 6: Final answer
    x = 43,915.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.