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Finding the Third Proportional to 9,846.89 and 14,777.58

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Solution

The third proportional to 9,846.89 and 14,777.58 is: 22,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.89 : 14,777.58 = 14,777.58 : x
  2. Step 2: Convert to fraction form
    9,846.89/14,777.58 = 14,777.58/x
  3. Step 3: Cross multiply
    9,846.89x = 14,777.58 × 14,777.58
  4. Step 4: Simplify right side
    9,846.89x = 218,376,815.24
  5. Step 5: Solve for x
    x = 218,376,815.24/9,846.89
  6. Step 6: Final answer
    x = 22,177.24

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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.