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Finding the Third Proportional to 9,795.94 and 14,898.94

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Solution

The third proportional to 9,795.94 and 14,898.94 is: 22,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.94 : 14,898.94 = 14,898.94 : x
  2. Step 2: Convert to fraction form
    9,795.94/14,898.94 = 14,898.94/x
  3. Step 3: Cross multiply
    9,795.94x = 14,898.94 × 14,898.94
  4. Step 4: Simplify right side
    9,795.94x = 221,978,338.63
  5. Step 5: Solve for x
    x = 221,978,338.63/9,795.94
  6. Step 6: Final answer
    x = 22,660.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.