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Finding the Third Proportional to 8,301 and 12,451.50

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Solution

The third proportional to 8,301 and 12,451.50 is: 18,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301 : 12,451.50 = 12,451.50 : x
  2. Step 2: Convert to fraction form
    8,301/12,451.50 = 12,451.50/x
  3. Step 3: Cross multiply
    8,301x = 12,451.50 × 12,451.50
  4. Step 4: Simplify right side
    8,301x = 155,039,852.25
  5. Step 5: Solve for x
    x = 155,039,852.25/8,301
  6. Step 6: Final answer
    x = 18,677.25

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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.