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Finding the Third Proportional to 5,951.81 and 7,827.47

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Solution

The third proportional to 5,951.81 and 7,827.47 is: 10,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.81 : 7,827.47 = 7,827.47 : x
  2. Step 2: Convert to fraction form
    5,951.81/7,827.47 = 7,827.47/x
  3. Step 3: Cross multiply
    5,951.81x = 7,827.47 × 7,827.47
  4. Step 4: Simplify right side
    5,951.81x = 61,269,267.03
  5. Step 5: Solve for x
    x = 61,269,267.03/5,951.81
  6. Step 6: Final answer
    x = 10,294.22

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.