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Finding the Third Proportional to 25,218.84 and 34,099.26

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Solution

The third proportional to 25,218.84 and 34,099.26 is: 46,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,218.84 : 34,099.26 = 34,099.26 : x
  2. Step 2: Convert to fraction form
    25,218.84/34,099.26 = 34,099.26/x
  3. Step 3: Cross multiply
    25,218.84x = 34,099.26 × 34,099.26
  4. Step 4: Simplify right side
    25,218.84x = 1,162,759,516.56
  5. Step 5: Solve for x
    x = 1,162,759,516.56/25,218.84
  6. Step 6: Final answer
    x = 46,106.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.