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Finding the Third Proportional to 29,386 and 44,144

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Solution

The third proportional to 29,386 and 44,144 is: 66,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,386 : 44,144 = 44,144 : x
  2. Step 2: Convert to fraction form
    29,386/44,144 = 44,144/x
  3. Step 3: Cross multiply
    29,386x = 44,144 × 44,144
  4. Step 4: Simplify right side
    29,386x = 1,948,692,736
  5. Step 5: Solve for x
    x = 1,948,692,736/29,386
  6. Step 6: Final answer
    x = 66,313.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.