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Finding the Third Proportional to 23,677 and 52,609

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Solution

The third proportional to 23,677 and 52,609 is: 116,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677 : 52,609 = 52,609 : x
  2. Step 2: Convert to fraction form
    23,677/52,609 = 52,609/x
  3. Step 3: Cross multiply
    23,677x = 52,609 × 52,609
  4. Step 4: Simplify right side
    23,677x = 2,767,706,881
  5. Step 5: Solve for x
    x = 2,767,706,881/23,677
  6. Step 6: Final answer
    x = 116,894.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.