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Finding the Third Proportional to 26,270 and 41,595

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Solution

The third proportional to 26,270 and 41,595 is: 65,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,270 : 41,595 = 41,595 : x
  2. Step 2: Convert to fraction form
    26,270/41,595 = 41,595/x
  3. Step 3: Cross multiply
    26,270x = 41,595 × 41,595
  4. Step 4: Simplify right side
    26,270x = 1,730,144,025
  5. Step 5: Solve for x
    x = 1,730,144,025/26,270
  6. Step 6: Final answer
    x = 65,860.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.