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Finding the Third Proportional to 4,600 and 10,654

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Solution

The third proportional to 4,600 and 10,654 is: 24,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600 : 10,654 = 10,654 : x
  2. Step 2: Convert to fraction form
    4,600/10,654 = 10,654/x
  3. Step 3: Cross multiply
    4,600x = 10,654 × 10,654
  4. Step 4: Simplify right side
    4,600x = 113,507,716
  5. Step 5: Solve for x
    x = 113,507,716/4,600
  6. Step 6: Final answer
    x = 24,675.59

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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.