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Finding the Third Proportional to 38,313 and 63,315

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Solution

The third proportional to 38,313 and 63,315 is: 104,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,313 : 63,315 = 63,315 : x
  2. Step 2: Convert to fraction form
    38,313/63,315 = 63,315/x
  3. Step 3: Cross multiply
    38,313x = 63,315 × 63,315
  4. Step 4: Simplify right side
    38,313x = 4,008,789,225
  5. Step 5: Solve for x
    x = 4,008,789,225/38,313
  6. Step 6: Final answer
    x = 104,632.61

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.