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Finding the Third Proportional to 34,657.50 and 52,232.25

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Solution

The third proportional to 34,657.50 and 52,232.25 is: 78,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.50 : 52,232.25 = 52,232.25 : x
  2. Step 2: Convert to fraction form
    34,657.50/52,232.25 = 52,232.25/x
  3. Step 3: Cross multiply
    34,657.50x = 52,232.25 × 52,232.25
  4. Step 4: Simplify right side
    34,657.50x = 2,728,207,940.06
  5. Step 5: Solve for x
    x = 2,728,207,940.06/34,657.50
  6. Step 6: Final answer
    x = 78,719.12

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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.