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Finding the Third Proportional to 35,774 and 56,632

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Solution

The third proportional to 35,774 and 56,632 is: 89,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,774 : 56,632 = 56,632 : x
  2. Step 2: Convert to fraction form
    35,774/56,632 = 56,632/x
  3. Step 3: Cross multiply
    35,774x = 56,632 × 56,632
  4. Step 4: Simplify right side
    35,774x = 3,207,183,424
  5. Step 5: Solve for x
    x = 3,207,183,424/35,774
  6. Step 6: Final answer
    x = 89,651.24

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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.