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Finding the Third Proportional to 7,808.27 and 17,002.41

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Solution

The third proportional to 7,808.27 and 17,002.41 is: 37,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.27 : 17,002.41 = 17,002.41 : x
  2. Step 2: Convert to fraction form
    7,808.27/17,002.41 = 17,002.41/x
  3. Step 3: Cross multiply
    7,808.27x = 17,002.41 × 17,002.41
  4. Step 4: Simplify right side
    7,808.27x = 289,081,818.29
  5. Step 5: Solve for x
    x = 289,081,818.29/7,808.27
  6. Step 6: Final answer
    x = 37,022.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.