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Finding the Third Proportional to 9,990 and 14,927

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Solution

The third proportional to 9,990 and 14,927 is: 22,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990 : 14,927 = 14,927 : x
  2. Step 2: Convert to fraction form
    9,990/14,927 = 14,927/x
  3. Step 3: Cross multiply
    9,990x = 14,927 × 14,927
  4. Step 4: Simplify right side
    9,990x = 222,815,329
  5. Step 5: Solve for x
    x = 222,815,329/9,990
  6. Step 6: Final answer
    x = 22,303.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.