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Finding the Third Proportional to 30,767.63 and 67,230

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Solution

The third proportional to 30,767.63 and 67,230 is: 146,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.63 : 67,230 = 67,230 : x
  2. Step 2: Convert to fraction form
    30,767.63/67,230 = 67,230/x
  3. Step 3: Cross multiply
    30,767.63x = 67,230 × 67,230
  4. Step 4: Simplify right side
    30,767.63x = 4,519,872,900
  5. Step 5: Solve for x
    x = 4,519,872,900/30,767.63
  6. Step 6: Final answer
    x = 146,903.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.