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Finding the Third Proportional to 29,741.50 and 43,791

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Solution

The third proportional to 29,741.50 and 43,791 is: 64,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741.50 : 43,791 = 43,791 : x
  2. Step 2: Convert to fraction form
    29,741.50/43,791 = 43,791/x
  3. Step 3: Cross multiply
    29,741.50x = 43,791 × 43,791
  4. Step 4: Simplify right side
    29,741.50x = 1,917,651,681
  5. Step 5: Solve for x
    x = 1,917,651,681/29,741.50
  6. Step 6: Final answer
    x = 64,477.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.