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Finding the Third Proportional to 28,206 and 43,531.88

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Solution

The third proportional to 28,206 and 43,531.88 is: 67,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206 : 43,531.88 = 43,531.88 : x
  2. Step 2: Convert to fraction form
    28,206/43,531.88 = 43,531.88/x
  3. Step 3: Cross multiply
    28,206x = 43,531.88 × 43,531.88
  4. Step 4: Simplify right side
    28,206x = 1,895,024,141.02
  5. Step 5: Solve for x
    x = 1,895,024,141.02/28,206
  6. Step 6: Final answer
    x = 67,185.14

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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.