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Finding the Third Proportional to 12,908 and 28,424

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Solution

The third proportional to 12,908 and 28,424 is: 62,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908 : 28,424 = 28,424 : x
  2. Step 2: Convert to fraction form
    12,908/28,424 = 28,424/x
  3. Step 3: Cross multiply
    12,908x = 28,424 × 28,424
  4. Step 4: Simplify right side
    12,908x = 807,923,776
  5. Step 5: Solve for x
    x = 807,923,776/12,908
  6. Step 6: Final answer
    x = 62,590.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.