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Finding the Third Proportional to 3,802.78 and 9,722.53

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Solution

The third proportional to 3,802.78 and 9,722.53 is: 24,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.78 : 9,722.53 = 9,722.53 : x
  2. Step 2: Convert to fraction form
    3,802.78/9,722.53 = 9,722.53/x
  3. Step 3: Cross multiply
    3,802.78x = 9,722.53 × 9,722.53
  4. Step 4: Simplify right side
    3,802.78x = 94,527,613.91
  5. Step 5: Solve for x
    x = 94,527,613.91/3,802.78
  6. Step 6: Final answer
    x = 24,857.49

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.