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Finding the Third Proportional to 9,231 and 20,307.19

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Solution

The third proportional to 9,231 and 20,307.19 is: 44,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231 : 20,307.19 = 20,307.19 : x
  2. Step 2: Convert to fraction form
    9,231/20,307.19 = 20,307.19/x
  3. Step 3: Cross multiply
    9,231x = 20,307.19 × 20,307.19
  4. Step 4: Simplify right side
    9,231x = 412,381,864.16
  5. Step 5: Solve for x
    x = 412,381,864.16/9,231
  6. Step 6: Final answer
    x = 44,673.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.