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Finding the Third Proportional to 52,416.75 and 69,834

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Solution

The third proportional to 52,416.75 and 69,834 is: 93,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,416.75 : 69,834 = 69,834 : x
  2. Step 2: Convert to fraction form
    52,416.75/69,834 = 69,834/x
  3. Step 3: Cross multiply
    52,416.75x = 69,834 × 69,834
  4. Step 4: Simplify right side
    52,416.75x = 4,876,787,556
  5. Step 5: Solve for x
    x = 4,876,787,556/52,416.75
  6. Step 6: Final answer
    x = 93,038.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.