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Finding the Third Proportional to 8,846.72 and 19,303.31

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Solution

The third proportional to 8,846.72 and 19,303.31 is: 42,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.72 : 19,303.31 = 19,303.31 : x
  2. Step 2: Convert to fraction form
    8,846.72/19,303.31 = 19,303.31/x
  3. Step 3: Cross multiply
    8,846.72x = 19,303.31 × 19,303.31
  4. Step 4: Simplify right side
    8,846.72x = 372,617,873.47
  5. Step 5: Solve for x
    x = 372,617,873.47/8,846.72
  6. Step 6: Final answer
    x = 42,119.33

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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.