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Finding the Third Proportional to 32,268 and 70,733

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Solution

The third proportional to 32,268 and 70,733 is: 155,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,268 : 70,733 = 70,733 : x
  2. Step 2: Convert to fraction form
    32,268/70,733 = 70,733/x
  3. Step 3: Cross multiply
    32,268x = 70,733 × 70,733
  4. Step 4: Simplify right side
    32,268x = 5,003,157,289
  5. Step 5: Solve for x
    x = 5,003,157,289/32,268
  6. Step 6: Final answer
    x = 155,050.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.