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Finding the Third Proportional to 12,935 and 28,492

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Solution

The third proportional to 12,935 and 28,492 is: 62,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,935 : 28,492 = 28,492 : x
  2. Step 2: Convert to fraction form
    12,935/28,492 = 28,492/x
  3. Step 3: Cross multiply
    12,935x = 28,492 × 28,492
  4. Step 4: Simplify right side
    12,935x = 811,794,064
  5. Step 5: Solve for x
    x = 811,794,064/12,935
  6. Step 6: Final answer
    x = 62,759.49

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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.