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Finding the Third Proportional to 9,146.67 and 19,010.95

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Solution

The third proportional to 9,146.67 and 19,010.95 is: 39,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.67 : 19,010.95 = 19,010.95 : x
  2. Step 2: Convert to fraction form
    9,146.67/19,010.95 = 19,010.95/x
  3. Step 3: Cross multiply
    9,146.67x = 19,010.95 × 19,010.95
  4. Step 4: Simplify right side
    9,146.67x = 361,416,338.72
  5. Step 5: Solve for x
    x = 361,416,338.72/9,146.67
  6. Step 6: Final answer
    x = 39,513.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.