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Finding the Third Proportional to 28,644 and 62,796

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Solution

The third proportional to 28,644 and 62,796 is: 137,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,644 : 62,796 = 62,796 : x
  2. Step 2: Convert to fraction form
    28,644/62,796 = 62,796/x
  3. Step 3: Cross multiply
    28,644x = 62,796 × 62,796
  4. Step 4: Simplify right side
    28,644x = 3,943,337,616
  5. Step 5: Solve for x
    x = 3,943,337,616/28,644
  6. Step 6: Final answer
    x = 137,667.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.