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Finding the Third Proportional to 34,276.50 and 52,971

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Solution

The third proportional to 34,276.50 and 52,971 is: 81,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,276.50 : 52,971 = 52,971 : x
  2. Step 2: Convert to fraction form
    34,276.50/52,971 = 52,971/x
  3. Step 3: Cross multiply
    34,276.50x = 52,971 × 52,971
  4. Step 4: Simplify right side
    34,276.50x = 2,805,926,841
  5. Step 5: Solve for x
    x = 2,805,926,841/34,276.50
  6. Step 6: Final answer
    x = 81,861.53

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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.