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Finding the Third Proportional to 29,594 and 62,836

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Solution

The third proportional to 29,594 and 62,836 is: 133,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594 : 62,836 = 62,836 : x
  2. Step 2: Convert to fraction form
    29,594/62,836 = 62,836/x
  3. Step 3: Cross multiply
    29,594x = 62,836 × 62,836
  4. Step 4: Simplify right side
    29,594x = 3,948,362,896
  5. Step 5: Solve for x
    x = 3,948,362,896/29,594
  6. Step 6: Final answer
    x = 133,417.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.