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Finding the Third Proportional to 29,186 and 45,079

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Solution

The third proportional to 29,186 and 45,079 is: 69,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,186 : 45,079 = 45,079 : x
  2. Step 2: Convert to fraction form
    29,186/45,079 = 45,079/x
  3. Step 3: Cross multiply
    29,186x = 45,079 × 45,079
  4. Step 4: Simplify right side
    29,186x = 2,032,116,241
  5. Step 5: Solve for x
    x = 2,032,116,241/29,186
  6. Step 6: Final answer
    x = 69,626.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.