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Finding the Third Proportional to 29,760 and 44,944

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Solution

The third proportional to 29,760 and 44,944 is: 67,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,760 : 44,944 = 44,944 : x
  2. Step 2: Convert to fraction form
    29,760/44,944 = 44,944/x
  3. Step 3: Cross multiply
    29,760x = 44,944 × 44,944
  4. Step 4: Simplify right side
    29,760x = 2,019,963,136
  5. Step 5: Solve for x
    x = 2,019,963,136/29,760
  6. Step 6: Final answer
    x = 67,875.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.