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Finding the Third Proportional to 31,364 and 48,774

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Solution

The third proportional to 31,364 and 48,774 is: 75,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364 : 48,774 = 48,774 : x
  2. Step 2: Convert to fraction form
    31,364/48,774 = 48,774/x
  3. Step 3: Cross multiply
    31,364x = 48,774 × 48,774
  4. Step 4: Simplify right side
    31,364x = 2,378,903,076
  5. Step 5: Solve for x
    x = 2,378,903,076/31,364
  6. Step 6: Final answer
    x = 75,848.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.