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Finding the Third Proportional to 26,299 and 56,810

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Solution

The third proportional to 26,299 and 56,810 is: 122,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,299 : 56,810 = 56,810 : x
  2. Step 2: Convert to fraction form
    26,299/56,810 = 56,810/x
  3. Step 3: Cross multiply
    26,299x = 56,810 × 56,810
  4. Step 4: Simplify right side
    26,299x = 3,227,376,100
  5. Step 5: Solve for x
    x = 3,227,376,100/26,299
  6. Step 6: Final answer
    x = 122,718.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.