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Finding the Third Proportional to 35,071 and 52,971

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Solution

The third proportional to 35,071 and 52,971 is: 80,007.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,071 : 52,971 = 52,971 : x
  2. Step 2: Convert to fraction form
    35,071/52,971 = 52,971/x
  3. Step 3: Cross multiply
    35,071x = 52,971 × 52,971
  4. Step 4: Simplify right side
    35,071x = 2,805,926,841
  5. Step 5: Solve for x
    x = 2,805,926,841/35,071
  6. Step 6: Final answer
    x = 80,007.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.