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Finding the Third Proportional to 12,046 and 29,020

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Solution

The third proportional to 12,046 and 29,020 is: 69,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046 : 29,020 = 29,020 : x
  2. Step 2: Convert to fraction form
    12,046/29,020 = 29,020/x
  3. Step 3: Cross multiply
    12,046x = 29,020 × 29,020
  4. Step 4: Simplify right side
    12,046x = 842,160,400
  5. Step 5: Solve for x
    x = 842,160,400/12,046
  6. Step 6: Final answer
    x = 69,912.04

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.