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Finding the Third Proportional to 5,484.38 and 8,274.38

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Solution

The third proportional to 5,484.38 and 8,274.38 is: 12,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.38 : 8,274.38 = 8,274.38 : x
  2. Step 2: Convert to fraction form
    5,484.38/8,274.38 = 8,274.38/x
  3. Step 3: Cross multiply
    5,484.38x = 8,274.38 × 8,274.38
  4. Step 4: Simplify right side
    5,484.38x = 68,465,281.64
  5. Step 5: Solve for x
    x = 68,465,281.64/5,484.38
  6. Step 6: Final answer
    x = 12,483.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.