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Finding the Third Proportional to 35,529.50 and 51,330

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Solution

The third proportional to 35,529.50 and 51,330 is: 74,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,529.50 : 51,330 = 51,330 : x
  2. Step 2: Convert to fraction form
    35,529.50/51,330 = 51,330/x
  3. Step 3: Cross multiply
    35,529.50x = 51,330 × 51,330
  4. Step 4: Simplify right side
    35,529.50x = 2,634,768,900
  5. Step 5: Solve for x
    x = 2,634,768,900/35,529.50
  6. Step 6: Final answer
    x = 74,157.22

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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.