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Finding the Third Proportional to 28,522 and 68,713

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Solution

The third proportional to 28,522 and 68,713 is: 165,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,522 : 68,713 = 68,713 : x
  2. Step 2: Convert to fraction form
    28,522/68,713 = 68,713/x
  3. Step 3: Cross multiply
    28,522x = 68,713 × 68,713
  4. Step 4: Simplify right side
    28,522x = 4,721,476,369
  5. Step 5: Solve for x
    x = 4,721,476,369/28,522
  6. Step 6: Final answer
    x = 165,538.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.