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Finding the Third Proportional to 34,663 and 55,820

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Solution

The third proportional to 34,663 and 55,820 is: 89,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,663 : 55,820 = 55,820 : x
  2. Step 2: Convert to fraction form
    34,663/55,820 = 55,820/x
  3. Step 3: Cross multiply
    34,663x = 55,820 × 55,820
  4. Step 4: Simplify right side
    34,663x = 3,115,872,400
  5. Step 5: Solve for x
    x = 3,115,872,400/34,663
  6. Step 6: Final answer
    x = 89,890.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.