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Finding the Third Proportional to 8,187 and 19,244.25

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Solution

The third proportional to 8,187 and 19,244.25 is: 45,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187 : 19,244.25 = 19,244.25 : x
  2. Step 2: Convert to fraction form
    8,187/19,244.25 = 19,244.25/x
  3. Step 3: Cross multiply
    8,187x = 19,244.25 × 19,244.25
  4. Step 4: Simplify right side
    8,187x = 370,341,158.06
  5. Step 5: Solve for x
    x = 370,341,158.06/8,187
  6. Step 6: Final answer
    x = 45,235.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.