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Finding the Third Proportional to 8,739 and 13,114.50

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Solution

The third proportional to 8,739 and 13,114.50 is: 19,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739 : 13,114.50 = 13,114.50 : x
  2. Step 2: Convert to fraction form
    8,739/13,114.50 = 13,114.50/x
  3. Step 3: Cross multiply
    8,739x = 13,114.50 × 13,114.50
  4. Step 4: Simplify right side
    8,739x = 171,990,110.25
  5. Step 5: Solve for x
    x = 171,990,110.25/8,739
  6. Step 6: Final answer
    x = 19,680.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.