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Finding the Third Proportional to 11,335.50 and 23,244.19

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Solution

The third proportional to 11,335.50 and 23,244.19 is: 47,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335.50 : 23,244.19 = 23,244.19 : x
  2. Step 2: Convert to fraction form
    11,335.50/23,244.19 = 23,244.19/x
  3. Step 3: Cross multiply
    11,335.50x = 23,244.19 × 23,244.19
  4. Step 4: Simplify right side
    11,335.50x = 540,292,252.54
  5. Step 5: Solve for x
    x = 540,292,252.54/11,335.50
  6. Step 6: Final answer
    x = 47,663.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.