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Finding the Third Proportional to 4,834.69 and 12,691.69

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Solution

The third proportional to 4,834.69 and 12,691.69 is: 33,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.69 : 12,691.69 = 12,691.69 : x
  2. Step 2: Convert to fraction form
    4,834.69/12,691.69 = 12,691.69/x
  3. Step 3: Cross multiply
    4,834.69x = 12,691.69 × 12,691.69
  4. Step 4: Simplify right side
    4,834.69x = 161,078,931.60
  5. Step 5: Solve for x
    x = 161,078,931.60/4,834.69
  6. Step 6: Final answer
    x = 33,317.34

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.