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Finding the Third Proportional to 31,424 and 44,808

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Solution

The third proportional to 31,424 and 44,808 is: 63,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424 : 44,808 = 44,808 : x
  2. Step 2: Convert to fraction form
    31,424/44,808 = 44,808/x
  3. Step 3: Cross multiply
    31,424x = 44,808 × 44,808
  4. Step 4: Simplify right side
    31,424x = 2,007,756,864
  5. Step 5: Solve for x
    x = 2,007,756,864/31,424
  6. Step 6: Final answer
    x = 63,892.47

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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.