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Finding the Third Proportional to 31,440 and 44,700

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Solution

The third proportional to 31,440 and 44,700 is: 63,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,440 : 44,700 = 44,700 : x
  2. Step 2: Convert to fraction form
    31,440/44,700 = 44,700/x
  3. Step 3: Cross multiply
    31,440x = 44,700 × 44,700
  4. Step 4: Simplify right side
    31,440x = 1,998,090,000
  5. Step 5: Solve for x
    x = 1,998,090,000/31,440
  6. Step 6: Final answer
    x = 63,552.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.