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Finding the Third Proportional to 28,210 and 43,538

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Solution

The third proportional to 28,210 and 43,538 is: 67,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,210 : 43,538 = 43,538 : x
  2. Step 2: Convert to fraction form
    28,210/43,538 = 43,538/x
  3. Step 3: Cross multiply
    28,210x = 43,538 × 43,538
  4. Step 4: Simplify right side
    28,210x = 1,895,557,444
  5. Step 5: Solve for x
    x = 1,895,557,444/28,210
  6. Step 6: Final answer
    x = 67,194.52

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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.