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Finding the Third Proportional to 9,791 and 14,777.25

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Solution

The third proportional to 9,791 and 14,777.25 is: 22,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791 : 14,777.25 = 14,777.25 : x
  2. Step 2: Convert to fraction form
    9,791/14,777.25 = 14,777.25/x
  3. Step 3: Cross multiply
    9,791x = 14,777.25 × 14,777.25
  4. Step 4: Simplify right side
    9,791x = 218,367,117.56
  5. Step 5: Solve for x
    x = 218,367,117.56/9,791
  6. Step 6: Final answer
    x = 22,302.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.