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Finding the Third Proportional to 23,109.19 and 35,642.81

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Solution

The third proportional to 23,109.19 and 35,642.81 is: 54,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.19 : 35,642.81 = 35,642.81 : x
  2. Step 2: Convert to fraction form
    23,109.19/35,642.81 = 35,642.81/x
  3. Step 3: Cross multiply
    23,109.19x = 35,642.81 × 35,642.81
  4. Step 4: Simplify right side
    23,109.19x = 1,270,410,082.91
  5. Step 5: Solve for x
    x = 1,270,410,082.91/23,109.19
  6. Step 6: Final answer
    x = 54,974.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.