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Finding the Third Proportional to 26,025 and 56,764

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Solution

The third proportional to 26,025 and 56,764 is: 123,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,025 : 56,764 = 56,764 : x
  2. Step 2: Convert to fraction form
    26,025/56,764 = 56,764/x
  3. Step 3: Cross multiply
    26,025x = 56,764 × 56,764
  4. Step 4: Simplify right side
    26,025x = 3,222,151,696
  5. Step 5: Solve for x
    x = 3,222,151,696/26,025
  6. Step 6: Final answer
    x = 123,809.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.