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Finding the Third Proportional to 9,789.94 and 15,763.23

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Solution

The third proportional to 9,789.94 and 15,763.23 is: 25,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.94 : 15,763.23 = 15,763.23 : x
  2. Step 2: Convert to fraction form
    9,789.94/15,763.23 = 15,763.23/x
  3. Step 3: Cross multiply
    9,789.94x = 15,763.23 × 15,763.23
  4. Step 4: Simplify right side
    9,789.94x = 248,479,434.81
  5. Step 5: Solve for x
    x = 248,479,434.81/9,789.94
  6. Step 6: Final answer
    x = 25,381.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.