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Finding the Third Proportional to 8,829 and 19,298.25

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Solution

The third proportional to 8,829 and 19,298.25 is: 42,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829 : 19,298.25 = 19,298.25 : x
  2. Step 2: Convert to fraction form
    8,829/19,298.25 = 19,298.25/x
  3. Step 3: Cross multiply
    8,829x = 19,298.25 × 19,298.25
  4. Step 4: Simplify right side
    8,829x = 372,422,453.06
  5. Step 5: Solve for x
    x = 372,422,453.06/8,829
  6. Step 6: Final answer
    x = 42,181.73

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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.