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Finding the Third Proportional to 29,301.75 and 38,049.75

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Solution

The third proportional to 29,301.75 and 38,049.75 is: 49,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,301.75 : 38,049.75 = 38,049.75 : x
  2. Step 2: Convert to fraction form
    29,301.75/38,049.75 = 38,049.75/x
  3. Step 3: Cross multiply
    29,301.75x = 38,049.75 × 38,049.75
  4. Step 4: Simplify right side
    29,301.75x = 1,447,783,475.06
  5. Step 5: Solve for x
    x = 1,447,783,475.06/29,301.75
  6. Step 6: Final answer
    x = 49,409.45

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.