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Finding the Third Proportional to 26,314 and 41,830

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Solution

The third proportional to 26,314 and 41,830 is: 66,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,314 : 41,830 = 41,830 : x
  2. Step 2: Convert to fraction form
    26,314/41,830 = 41,830/x
  3. Step 3: Cross multiply
    26,314x = 41,830 × 41,830
  4. Step 4: Simplify right side
    26,314x = 1,749,748,900
  5. Step 5: Solve for x
    x = 1,749,748,900/26,314
  6. Step 6: Final answer
    x = 66,494.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.