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Finding the Third Proportional to 8,871.19 and 18,824.06

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Solution

The third proportional to 8,871.19 and 18,824.06 is: 39,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.19 : 18,824.06 = 18,824.06 : x
  2. Step 2: Convert to fraction form
    8,871.19/18,824.06 = 18,824.06/x
  3. Step 3: Cross multiply
    8,871.19x = 18,824.06 × 18,824.06
  4. Step 4: Simplify right side
    8,871.19x = 354,345,329.00
  5. Step 5: Solve for x
    x = 354,345,329.00/8,871.19
  6. Step 6: Final answer
    x = 39,943.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.