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Finding the Third Proportional to 3,700 and 7,924.81

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Solution

The third proportional to 3,700 and 7,924.81 is: 16,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700 : 7,924.81 = 7,924.81 : x
  2. Step 2: Convert to fraction form
    3,700/7,924.81 = 7,924.81/x
  3. Step 3: Cross multiply
    3,700x = 7,924.81 × 7,924.81
  4. Step 4: Simplify right side
    3,700x = 62,802,653.16
  5. Step 5: Solve for x
    x = 62,802,653.16/3,700
  6. Step 6: Final answer
    x = 16,973.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.