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Finding the Third Proportional to 26,332 and 41,690

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Solution

The third proportional to 26,332 and 41,690 is: 66,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,332 : 41,690 = 41,690 : x
  2. Step 2: Convert to fraction form
    26,332/41,690 = 41,690/x
  3. Step 3: Cross multiply
    26,332x = 41,690 × 41,690
  4. Step 4: Simplify right side
    26,332x = 1,738,056,100
  5. Step 5: Solve for x
    x = 1,738,056,100/26,332
  6. Step 6: Final answer
    x = 66,005.47

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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.