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Finding the Third Proportional to 34,623 and 56,531

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Solution

The third proportional to 34,623 and 56,531 is: 92,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,623 : 56,531 = 56,531 : x
  2. Step 2: Convert to fraction form
    34,623/56,531 = 56,531/x
  3. Step 3: Cross multiply
    34,623x = 56,531 × 56,531
  4. Step 4: Simplify right side
    34,623x = 3,195,753,961
  5. Step 5: Solve for x
    x = 3,195,753,961/34,623
  6. Step 6: Final answer
    x = 92,301.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.