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Finding the Third Proportional to 9,947 and 14,899

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Solution

The third proportional to 9,947 and 14,899 is: 22,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947 : 14,899 = 14,899 : x
  2. Step 2: Convert to fraction form
    9,947/14,899 = 14,899/x
  3. Step 3: Cross multiply
    9,947x = 14,899 × 14,899
  4. Step 4: Simplify right side
    9,947x = 221,980,201
  5. Step 5: Solve for x
    x = 221,980,201/9,947
  6. Step 6: Final answer
    x = 22,316.30

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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.