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Finding the Third Proportional to 35,635 and 56,420

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Solution

The third proportional to 35,635 and 56,420 is: 89,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,635 : 56,420 = 56,420 : x
  2. Step 2: Convert to fraction form
    35,635/56,420 = 56,420/x
  3. Step 3: Cross multiply
    35,635x = 56,420 × 56,420
  4. Step 4: Simplify right side
    35,635x = 3,183,216,400
  5. Step 5: Solve for x
    x = 3,183,216,400/35,635
  6. Step 6: Final answer
    x = 89,328.37

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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.