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Finding the Third Proportional to 38,312 and 54,848

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Solution

The third proportional to 38,312 and 54,848 is: 78,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,312 : 54,848 = 54,848 : x
  2. Step 2: Convert to fraction form
    38,312/54,848 = 54,848/x
  3. Step 3: Cross multiply
    38,312x = 54,848 × 54,848
  4. Step 4: Simplify right side
    38,312x = 3,008,303,104
  5. Step 5: Solve for x
    x = 3,008,303,104/38,312
  6. Step 6: Final answer
    x = 78,521.17

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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.