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Finding the Third Proportional to 29,078 and 58,948

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Solution

The third proportional to 29,078 and 58,948 is: 119,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,078 : 58,948 = 58,948 : x
  2. Step 2: Convert to fraction form
    29,078/58,948 = 58,948/x
  3. Step 3: Cross multiply
    29,078x = 58,948 × 58,948
  4. Step 4: Simplify right side
    29,078x = 3,474,866,704
  5. Step 5: Solve for x
    x = 3,474,866,704/29,078
  6. Step 6: Final answer
    x = 119,501.57

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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.