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Finding the Third Proportional to 10,467 and 22,770

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Solution

The third proportional to 10,467 and 22,770 is: 49,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467 : 22,770 = 22,770 : x
  2. Step 2: Convert to fraction form
    10,467/22,770 = 22,770/x
  3. Step 3: Cross multiply
    10,467x = 22,770 × 22,770
  4. Step 4: Simplify right side
    10,467x = 518,472,900
  5. Step 5: Solve for x
    x = 518,472,900/10,467
  6. Step 6: Final answer
    x = 49,534.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.