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Finding the Third Proportional to 35,024.50 and 77,825

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Solution

The third proportional to 35,024.50 and 77,825 is: 172,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,024.50 : 77,825 = 77,825 : x
  2. Step 2: Convert to fraction form
    35,024.50/77,825 = 77,825/x
  3. Step 3: Cross multiply
    35,024.50x = 77,825 × 77,825
  4. Step 4: Simplify right side
    35,024.50x = 6,056,730,625
  5. Step 5: Solve for x
    x = 6,056,730,625/35,024.50
  6. Step 6: Final answer
    x = 172,928.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.