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Finding the Third Proportional to 29,114 and 45,094

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Solution

The third proportional to 29,114 and 45,094 is: 69,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114 : 45,094 = 45,094 : x
  2. Step 2: Convert to fraction form
    29,114/45,094 = 45,094/x
  3. Step 3: Cross multiply
    29,114x = 45,094 × 45,094
  4. Step 4: Simplify right side
    29,114x = 2,033,468,836
  5. Step 5: Solve for x
    x = 2,033,468,836/29,114
  6. Step 6: Final answer
    x = 69,845.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.