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Finding the Third Proportional to 9,850 and 14,740

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Solution

The third proportional to 9,850 and 14,740 is: 22,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850 : 14,740 = 14,740 : x
  2. Step 2: Convert to fraction form
    9,850/14,740 = 14,740/x
  3. Step 3: Cross multiply
    9,850x = 14,740 × 14,740
  4. Step 4: Simplify right side
    9,850x = 217,267,600
  5. Step 5: Solve for x
    x = 217,267,600/9,850
  6. Step 6: Final answer
    x = 22,057.62

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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.