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Finding the Third Proportional to 38,511.70 and 51,975.42

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Solution

The third proportional to 38,511.70 and 51,975.42 is: 70,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511.70 : 51,975.42 = 51,975.42 : x
  2. Step 2: Convert to fraction form
    38,511.70/51,975.42 = 51,975.42/x
  3. Step 3: Cross multiply
    38,511.70x = 51,975.42 × 51,975.42
  4. Step 4: Simplify right side
    38,511.70x = 2,701,444,479.08
  5. Step 5: Solve for x
    x = 2,701,444,479.08/38,511.70
  6. Step 6: Final answer
    x = 70,146.07

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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.