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Finding the Third Proportional to 8,246.65 and 17,661.01

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Solution

The third proportional to 8,246.65 and 17,661.01 is: 37,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.65 : 17,661.01 = 17,661.01 : x
  2. Step 2: Convert to fraction form
    8,246.65/17,661.01 = 17,661.01/x
  3. Step 3: Cross multiply
    8,246.65x = 17,661.01 × 17,661.01
  4. Step 4: Simplify right side
    8,246.65x = 311,911,127.96
  5. Step 5: Solve for x
    x = 311,911,127.96/8,246.65
  6. Step 6: Final answer
    x = 37,822.75

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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.