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Finding the Third Proportional to 9,204.75 and 12,240

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Solution

The third proportional to 9,204.75 and 12,240 is: 16,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.75 : 12,240 = 12,240 : x
  2. Step 2: Convert to fraction form
    9,204.75/12,240 = 12,240/x
  3. Step 3: Cross multiply
    9,204.75x = 12,240 × 12,240
  4. Step 4: Simplify right side
    9,204.75x = 149,817,600
  5. Step 5: Solve for x
    x = 149,817,600/9,204.75
  6. Step 6: Final answer
    x = 16,276.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.