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Finding the Third Proportional to 21,054 and 48,747

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Solution

The third proportional to 21,054 and 48,747 is: 112,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054 : 48,747 = 48,747 : x
  2. Step 2: Convert to fraction form
    21,054/48,747 = 48,747/x
  3. Step 3: Cross multiply
    21,054x = 48,747 × 48,747
  4. Step 4: Simplify right side
    21,054x = 2,376,270,009
  5. Step 5: Solve for x
    x = 2,376,270,009/21,054
  6. Step 6: Final answer
    x = 112,865.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.