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Finding the Third Proportional to 29,268 and 70,785

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Solution

The third proportional to 29,268 and 70,785 is: 171,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,268 : 70,785 = 70,785 : x
  2. Step 2: Convert to fraction form
    29,268/70,785 = 70,785/x
  3. Step 3: Cross multiply
    29,268x = 70,785 × 70,785
  4. Step 4: Simplify right side
    29,268x = 5,010,516,225
  5. Step 5: Solve for x
    x = 5,010,516,225/29,268
  6. Step 6: Final answer
    x = 171,194.35

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.