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Finding the Third Proportional to 29,738.81 and 42,745.22

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Solution

The third proportional to 29,738.81 and 42,745.22 is: 61,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.81 : 42,745.22 = 42,745.22 : x
  2. Step 2: Convert to fraction form
    29,738.81/42,745.22 = 42,745.22/x
  3. Step 3: Cross multiply
    29,738.81x = 42,745.22 × 42,745.22
  4. Step 4: Simplify right side
    29,738.81x = 1,827,153,725.99
  5. Step 5: Solve for x
    x = 1,827,153,725.99/29,738.81
  6. Step 6: Final answer
    x = 61,440.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.