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Finding the Third Proportional to 29,030 and 58,864

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Solution

The third proportional to 29,030 and 58,864 is: 119,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,030 : 58,864 = 58,864 : x
  2. Step 2: Convert to fraction form
    29,030/58,864 = 58,864/x
  3. Step 3: Cross multiply
    29,030x = 58,864 × 58,864
  4. Step 4: Simplify right side
    29,030x = 3,464,970,496
  5. Step 5: Solve for x
    x = 3,464,970,496/29,030
  6. Step 6: Final answer
    x = 119,358.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.