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Finding the Third Proportional to 19,751.81 and 41,827.13

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Solution

The third proportional to 19,751.81 and 41,827.13 is: 88,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.81 : 41,827.13 = 41,827.13 : x
  2. Step 2: Convert to fraction form
    19,751.81/41,827.13 = 41,827.13/x
  3. Step 3: Cross multiply
    19,751.81x = 41,827.13 × 41,827.13
  4. Step 4: Simplify right side
    19,751.81x = 1,749,508,385.77
  5. Step 5: Solve for x
    x = 1,749,508,385.77/19,751.81
  6. Step 6: Final answer
    x = 88,574.57

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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.