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Finding the Third Proportional to 9,206 and 14,600

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Solution

The third proportional to 9,206 and 14,600 is: 23,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206 : 14,600 = 14,600 : x
  2. Step 2: Convert to fraction form
    9,206/14,600 = 14,600/x
  3. Step 3: Cross multiply
    9,206x = 14,600 × 14,600
  4. Step 4: Simplify right side
    9,206x = 213,160,000
  5. Step 5: Solve for x
    x = 213,160,000/9,206
  6. Step 6: Final answer
    x = 23,154.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.