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Finding the Third Proportional to 23,446 and 36,255

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Solution

The third proportional to 23,446 and 36,255 is: 56,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446 : 36,255 = 36,255 : x
  2. Step 2: Convert to fraction form
    23,446/36,255 = 36,255/x
  3. Step 3: Cross multiply
    23,446x = 36,255 × 36,255
  4. Step 4: Simplify right side
    23,446x = 1,314,425,025
  5. Step 5: Solve for x
    x = 1,314,425,025/23,446
  6. Step 6: Final answer
    x = 56,061.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.