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Finding the Third Proportional to 30,301 and 63,385

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Solution

The third proportional to 30,301 and 63,385 is: 132,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301 : 63,385 = 63,385 : x
  2. Step 2: Convert to fraction form
    30,301/63,385 = 63,385/x
  3. Step 3: Cross multiply
    30,301x = 63,385 × 63,385
  4. Step 4: Simplify right side
    30,301x = 4,017,658,225
  5. Step 5: Solve for x
    x = 4,017,658,225/30,301
  6. Step 6: Final answer
    x = 132,591.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.