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Finding the Third Proportional to 29,413 and 69,379

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Solution

The third proportional to 29,413 and 69,379 is: 163,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,413 : 69,379 = 69,379 : x
  2. Step 2: Convert to fraction form
    29,413/69,379 = 69,379/x
  3. Step 3: Cross multiply
    29,413x = 69,379 × 69,379
  4. Step 4: Simplify right side
    29,413x = 4,813,445,641
  5. Step 5: Solve for x
    x = 4,813,445,641/29,413
  6. Step 6: Final answer
    x = 163,650.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.