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Finding the Third Proportional to 26,998.50 and 37,764

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Solution

The third proportional to 26,998.50 and 37,764 is: 52,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,998.50 : 37,764 = 37,764 : x
  2. Step 2: Convert to fraction form
    26,998.50/37,764 = 37,764/x
  3. Step 3: Cross multiply
    26,998.50x = 37,764 × 37,764
  4. Step 4: Simplify right side
    26,998.50x = 1,426,119,696
  5. Step 5: Solve for x
    x = 1,426,119,696/26,998.50
  6. Step 6: Final answer
    x = 52,822.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.