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Finding the Third Proportional to 32,971 and 73,313

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Solution

The third proportional to 32,971 and 73,313 is: 163,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971 : 73,313 = 73,313 : x
  2. Step 2: Convert to fraction form
    32,971/73,313 = 73,313/x
  3. Step 3: Cross multiply
    32,971x = 73,313 × 73,313
  4. Step 4: Simplify right side
    32,971x = 5,374,795,969
  5. Step 5: Solve for x
    x = 5,374,795,969/32,971
  6. Step 6: Final answer
    x = 163,015.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.