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Finding the Third Proportional to 29,224 and 56,989

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Solution

The third proportional to 29,224 and 56,989 is: 111,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,224 : 56,989 = 56,989 : x
  2. Step 2: Convert to fraction form
    29,224/56,989 = 56,989/x
  3. Step 3: Cross multiply
    29,224x = 56,989 × 56,989
  4. Step 4: Simplify right side
    29,224x = 3,247,746,121
  5. Step 5: Solve for x
    x = 3,247,746,121/29,224
  6. Step 6: Final answer
    x = 111,132.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.