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Finding the Third Proportional to 29,196.94 and 45,741.19

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Solution

The third proportional to 29,196.94 and 45,741.19 is: 71,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,196.94 : 45,741.19 = 45,741.19 : x
  2. Step 2: Convert to fraction form
    29,196.94/45,741.19 = 45,741.19/x
  3. Step 3: Cross multiply
    29,196.94x = 45,741.19 × 45,741.19
  4. Step 4: Simplify right side
    29,196.94x = 2,092,256,233.91
  5. Step 5: Solve for x
    x = 2,092,256,233.91/29,196.94
  6. Step 6: Final answer
    x = 71,660.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.