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Finding the Third Proportional to 35,224 and 48,300

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Solution

The third proportional to 35,224 and 48,300 is: 66,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224 : 48,300 = 48,300 : x
  2. Step 2: Convert to fraction form
    35,224/48,300 = 48,300/x
  3. Step 3: Cross multiply
    35,224x = 48,300 × 48,300
  4. Step 4: Simplify right side
    35,224x = 2,332,890,000
  5. Step 5: Solve for x
    x = 2,332,890,000/35,224
  6. Step 6: Final answer
    x = 66,230.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.