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Finding the Third Proportional to 3,484.82 and 4,967.74

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Solution

The third proportional to 3,484.82 and 4,967.74 is: 7,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.82 : 4,967.74 = 4,967.74 : x
  2. Step 2: Convert to fraction form
    3,484.82/4,967.74 = 4,967.74/x
  3. Step 3: Cross multiply
    3,484.82x = 4,967.74 × 4,967.74
  4. Step 4: Simplify right side
    3,484.82x = 24,678,404.23
  5. Step 5: Solve for x
    x = 24,678,404.23/3,484.82
  6. Step 6: Final answer
    x = 7,081.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.