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Finding the Third Proportional to 23,383.41 and 51,140.81

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Solution

The third proportional to 23,383.41 and 51,140.81 is: 111,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.41 : 51,140.81 = 51,140.81 : x
  2. Step 2: Convert to fraction form
    23,383.41/51,140.81 = 51,140.81/x
  3. Step 3: Cross multiply
    23,383.41x = 51,140.81 × 51,140.81
  4. Step 4: Simplify right side
    23,383.41x = 2,615,382,703.16
  5. Step 5: Solve for x
    x = 2,615,382,703.16/23,383.41
  6. Step 6: Final answer
    x = 111,847.81

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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.