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Finding the Third Proportional to 5,324 and 7,829

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Solution

The third proportional to 5,324 and 7,829 is: 11,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324 : 7,829 = 7,829 : x
  2. Step 2: Convert to fraction form
    5,324/7,829 = 7,829/x
  3. Step 3: Cross multiply
    5,324x = 7,829 × 7,829
  4. Step 4: Simplify right side
    5,324x = 61,293,241
  5. Step 5: Solve for x
    x = 61,293,241/5,324
  6. Step 6: Final answer
    x = 11,512.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.