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Finding the Third Proportional to 30,773 and 67,240

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Solution

The third proportional to 30,773 and 67,240 is: 146,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773 : 67,240 = 67,240 : x
  2. Step 2: Convert to fraction form
    30,773/67,240 = 67,240/x
  3. Step 3: Cross multiply
    30,773x = 67,240 × 67,240
  4. Step 4: Simplify right side
    30,773x = 4,521,217,600
  5. Step 5: Solve for x
    x = 4,521,217,600/30,773
  6. Step 6: Final answer
    x = 146,921.57

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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.