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Finding the Third Proportional to 23,382.56 and 51,139.13

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Solution

The third proportional to 23,382.56 and 51,139.13 is: 111,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.56 : 51,139.13 = 51,139.13 : x
  2. Step 2: Convert to fraction form
    23,382.56/51,139.13 = 51,139.13/x
  3. Step 3: Cross multiply
    23,382.56x = 51,139.13 × 51,139.13
  4. Step 4: Simplify right side
    23,382.56x = 2,615,210,105.77
  5. Step 5: Solve for x
    x = 2,615,210,105.77/23,382.56
  6. Step 6: Final answer
    x = 111,844.46

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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.