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Finding the Third Proportional to 35,526 and 51,325

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Solution

The third proportional to 35,526 and 51,325 is: 74,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,526 : 51,325 = 51,325 : x
  2. Step 2: Convert to fraction form
    35,526/51,325 = 51,325/x
  3. Step 3: Cross multiply
    35,526x = 51,325 × 51,325
  4. Step 4: Simplify right side
    35,526x = 2,634,255,625
  5. Step 5: Solve for x
    x = 2,634,255,625/35,526
  6. Step 6: Final answer
    x = 74,150.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.