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Finding the Third Proportional to 37,810 and 88,315

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Solution

The third proportional to 37,810 and 88,315 is: 206,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,810 : 88,315 = 88,315 : x
  2. Step 2: Convert to fraction form
    37,810/88,315 = 88,315/x
  3. Step 3: Cross multiply
    37,810x = 88,315 × 88,315
  4. Step 4: Simplify right side
    37,810x = 7,799,539,225
  5. Step 5: Solve for x
    x = 7,799,539,225/37,810
  6. Step 6: Final answer
    x = 206,282.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.