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Finding the Third Proportional to 28,049 and 43,111

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Solution

The third proportional to 28,049 and 43,111 is: 66,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,049 : 43,111 = 43,111 : x
  2. Step 2: Convert to fraction form
    28,049/43,111 = 43,111/x
  3. Step 3: Cross multiply
    28,049x = 43,111 × 43,111
  4. Step 4: Simplify right side
    28,049x = 1,858,558,321
  5. Step 5: Solve for x
    x = 1,858,558,321/28,049
  6. Step 6: Final answer
    x = 66,261.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.