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Finding the Third Proportional to 11,583.38 and 25,422.19

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Solution

The third proportional to 11,583.38 and 25,422.19 is: 55,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.38 : 25,422.19 = 25,422.19 : x
  2. Step 2: Convert to fraction form
    11,583.38/25,422.19 = 25,422.19/x
  3. Step 3: Cross multiply
    11,583.38x = 25,422.19 × 25,422.19
  4. Step 4: Simplify right side
    11,583.38x = 646,287,617.29
  5. Step 5: Solve for x
    x = 646,287,617.29/11,583.38
  6. Step 6: Final answer
    x = 55,794.41

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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.