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Finding the Third Proportional to 29,790 and 44,277.75

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Solution

The third proportional to 29,790 and 44,277.75 is: 65,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,790 : 44,277.75 = 44,277.75 : x
  2. Step 2: Convert to fraction form
    29,790/44,277.75 = 44,277.75/x
  3. Step 3: Cross multiply
    29,790x = 44,277.75 × 44,277.75
  4. Step 4: Simplify right side
    29,790x = 1,960,519,145.06
  5. Step 5: Solve for x
    x = 1,960,519,145.06/29,790
  6. Step 6: Final answer
    x = 65,811.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.