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Finding the Third Proportional to 30,534.75 and 64,350

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Solution

The third proportional to 30,534.75 and 64,350 is: 135,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.75 : 64,350 = 64,350 : x
  2. Step 2: Convert to fraction form
    30,534.75/64,350 = 64,350/x
  3. Step 3: Cross multiply
    30,534.75x = 64,350 × 64,350
  4. Step 4: Simplify right side
    30,534.75x = 4,140,922,500
  5. Step 5: Solve for x
    x = 4,140,922,500/30,534.75
  6. Step 6: Final answer
    x = 135,613.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.