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Finding the Third Proportional to 31,274 and 44,695

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Solution

The third proportional to 31,274 and 44,695 is: 63,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274 : 44,695 = 44,695 : x
  2. Step 2: Convert to fraction form
    31,274/44,695 = 44,695/x
  3. Step 3: Cross multiply
    31,274x = 44,695 × 44,695
  4. Step 4: Simplify right side
    31,274x = 1,997,643,025
  5. Step 5: Solve for x
    x = 1,997,643,025/31,274
  6. Step 6: Final answer
    x = 63,875.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.