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Finding the Third Proportional to 32,489 and 70,971

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Solution

The third proportional to 32,489 and 70,971 is: 155,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489 : 70,971 = 70,971 : x
  2. Step 2: Convert to fraction form
    32,489/70,971 = 70,971/x
  3. Step 3: Cross multiply
    32,489x = 70,971 × 70,971
  4. Step 4: Simplify right side
    32,489x = 5,036,882,841
  5. Step 5: Solve for x
    x = 5,036,882,841/32,489
  6. Step 6: Final answer
    x = 155,033.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.