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Finding the Third Proportional to 34,863.75 and 75,523.13

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Solution

The third proportional to 34,863.75 and 75,523.13 is: 163,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,863.75 : 75,523.13 = 75,523.13 : x
  2. Step 2: Convert to fraction form
    34,863.75/75,523.13 = 75,523.13/x
  3. Step 3: Cross multiply
    34,863.75x = 75,523.13 × 75,523.13
  4. Step 4: Simplify right side
    34,863.75x = 5,703,742,409.77
  5. Step 5: Solve for x
    x = 5,703,742,409.77/34,863.75
  6. Step 6: Final answer
    x = 163,600.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.