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Finding the Third Proportional to 29,667 and 64,560

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Solution

The third proportional to 29,667 and 64,560 is: 140,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,667 : 64,560 = 64,560 : x
  2. Step 2: Convert to fraction form
    29,667/64,560 = 64,560/x
  3. Step 3: Cross multiply
    29,667x = 64,560 × 64,560
  4. Step 4: Simplify right side
    29,667x = 4,167,993,600
  5. Step 5: Solve for x
    x = 4,167,993,600/29,667
  6. Step 6: Final answer
    x = 140,492.59

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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.