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Finding the Third Proportional to 19,326.94 and 41,023.13

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Solution

The third proportional to 19,326.94 and 41,023.13 is: 87,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,326.94 : 41,023.13 = 41,023.13 : x
  2. Step 2: Convert to fraction form
    19,326.94/41,023.13 = 41,023.13/x
  3. Step 3: Cross multiply
    19,326.94x = 41,023.13 × 41,023.13
  4. Step 4: Simplify right side
    19,326.94x = 1,682,896,784.77
  5. Step 5: Solve for x
    x = 1,682,896,784.77/19,326.94
  6. Step 6: Final answer
    x = 87,075.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.