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Finding the Third Proportional to 8,871.19 and 19,402.88

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Solution

The third proportional to 8,871.19 and 19,402.88 is: 42,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.19 : 19,402.88 = 19,402.88 : x
  2. Step 2: Convert to fraction form
    8,871.19/19,402.88 = 19,402.88/x
  3. Step 3: Cross multiply
    8,871.19x = 19,402.88 × 19,402.88
  4. Step 4: Simplify right side
    8,871.19x = 376,471,558.27
  5. Step 5: Solve for x
    x = 376,471,558.27/8,871.19
  6. Step 6: Final answer
    x = 42,437.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.