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Finding the Third Proportional to 12,962 and 28,460

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Solution

The third proportional to 12,962 and 28,460 is: 62,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962 : 28,460 = 28,460 : x
  2. Step 2: Convert to fraction form
    12,962/28,460 = 28,460/x
  3. Step 3: Cross multiply
    12,962x = 28,460 × 28,460
  4. Step 4: Simplify right side
    12,962x = 809,971,600
  5. Step 5: Solve for x
    x = 809,971,600/12,962
  6. Step 6: Final answer
    x = 62,488.17

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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.