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Finding the Third Proportional to 29,822 and 61,030

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Solution

The third proportional to 29,822 and 61,030 is: 124,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822 : 61,030 = 61,030 : x
  2. Step 2: Convert to fraction form
    29,822/61,030 = 61,030/x
  3. Step 3: Cross multiply
    29,822x = 61,030 × 61,030
  4. Step 4: Simplify right side
    29,822x = 3,724,660,900
  5. Step 5: Solve for x
    x = 3,724,660,900/29,822
  6. Step 6: Final answer
    x = 124,896.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.