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Finding the Third Proportional to 35,577.50 and 55,808.25

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Solution

The third proportional to 35,577.50 and 55,808.25 is: 87,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,577.50 : 55,808.25 = 55,808.25 : x
  2. Step 2: Convert to fraction form
    35,577.50/55,808.25 = 55,808.25/x
  3. Step 3: Cross multiply
    35,577.50x = 55,808.25 × 55,808.25
  4. Step 4: Simplify right side
    35,577.50x = 3,114,560,768.06
  5. Step 5: Solve for x
    x = 3,114,560,768.06/35,577.50
  6. Step 6: Final answer
    x = 87,542.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.