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Finding the Third Proportional to 29,822 and 63,094

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Solution

The third proportional to 29,822 and 63,094 is: 133,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822 : 63,094 = 63,094 : x
  2. Step 2: Convert to fraction form
    29,822/63,094 = 63,094/x
  3. Step 3: Cross multiply
    29,822x = 63,094 × 63,094
  4. Step 4: Simplify right side
    29,822x = 3,980,852,836
  5. Step 5: Solve for x
    x = 3,980,852,836/29,822
  6. Step 6: Final answer
    x = 133,487.12

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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.