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Finding the Third Proportional to 26,557 and 36,085

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Solution

The third proportional to 26,557 and 36,085 is: 49,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,557 : 36,085 = 36,085 : x
  2. Step 2: Convert to fraction form
    26,557/36,085 = 36,085/x
  3. Step 3: Cross multiply
    26,557x = 36,085 × 36,085
  4. Step 4: Simplify right side
    26,557x = 1,302,127,225
  5. Step 5: Solve for x
    x = 1,302,127,225/26,557
  6. Step 6: Final answer
    x = 49,031.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.