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Finding the Third Proportional to 34,741.13 and 75,838.13

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Solution

The third proportional to 34,741.13 and 75,838.13 is: 165,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,741.13 : 75,838.13 = 75,838.13 : x
  2. Step 2: Convert to fraction form
    34,741.13/75,838.13 = 75,838.13/x
  3. Step 3: Cross multiply
    34,741.13x = 75,838.13 × 75,838.13
  4. Step 4: Simplify right side
    34,741.13x = 5,751,421,203.52
  5. Step 5: Solve for x
    x = 5,751,421,203.52/34,741.13
  6. Step 6: Final answer
    x = 165,550.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.