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Finding the Third Proportional to 31,146 and 44,772

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Solution

The third proportional to 31,146 and 44,772 is: 64,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,146 : 44,772 = 44,772 : x
  2. Step 2: Convert to fraction form
    31,146/44,772 = 44,772/x
  3. Step 3: Cross multiply
    31,146x = 44,772 × 44,772
  4. Step 4: Simplify right side
    31,146x = 2,004,531,984
  5. Step 5: Solve for x
    x = 2,004,531,984/31,146
  6. Step 6: Final answer
    x = 64,359.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.