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Finding the Third Proportional to 4,566 and 10,623

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Solution

The third proportional to 4,566 and 10,623 is: 24,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566 : 10,623 = 10,623 : x
  2. Step 2: Convert to fraction form
    4,566/10,623 = 10,623/x
  3. Step 3: Cross multiply
    4,566x = 10,623 × 10,623
  4. Step 4: Simplify right side
    4,566x = 112,848,129
  5. Step 5: Solve for x
    x = 112,848,129/4,566
  6. Step 6: Final answer
    x = 24,714.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.