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Finding the Third Proportional to 12,262 and 26,810

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Solution

The third proportional to 12,262 and 26,810 is: 58,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262 : 26,810 = 26,810 : x
  2. Step 2: Convert to fraction form
    12,262/26,810 = 26,810/x
  3. Step 3: Cross multiply
    12,262x = 26,810 × 26,810
  4. Step 4: Simplify right side
    12,262x = 718,776,100
  5. Step 5: Solve for x
    x = 718,776,100/12,262
  6. Step 6: Final answer
    x = 58,618.18

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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.