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Finding the Third Proportional to 34,278.75 and 52,971.75

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Solution

The third proportional to 34,278.75 and 52,971.75 is: 81,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278.75 : 52,971.75 = 52,971.75 : x
  2. Step 2: Convert to fraction form
    34,278.75/52,971.75 = 52,971.75/x
  3. Step 3: Cross multiply
    34,278.75x = 52,971.75 × 52,971.75
  4. Step 4: Simplify right side
    34,278.75x = 2,806,006,298.06
  5. Step 5: Solve for x
    x = 2,806,006,298.06/34,278.75
  6. Step 6: Final answer
    x = 81,858.48

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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.