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Finding the Third Proportional to 26,466 and 55,658

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Solution

The third proportional to 26,466 and 55,658 is: 117,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,466 : 55,658 = 55,658 : x
  2. Step 2: Convert to fraction form
    26,466/55,658 = 55,658/x
  3. Step 3: Cross multiply
    26,466x = 55,658 × 55,658
  4. Step 4: Simplify right side
    26,466x = 3,097,812,964
  5. Step 5: Solve for x
    x = 3,097,812,964/26,466
  6. Step 6: Final answer
    x = 117,048.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.