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Finding the Third Proportional to 37,543 and 82,315

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Solution

The third proportional to 37,543 and 82,315 is: 180,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,543 : 82,315 = 82,315 : x
  2. Step 2: Convert to fraction form
    37,543/82,315 = 82,315/x
  3. Step 3: Cross multiply
    37,543x = 82,315 × 82,315
  4. Step 4: Simplify right side
    37,543x = 6,775,759,225
  5. Step 5: Solve for x
    x = 6,775,759,225/37,543
  6. Step 6: Final answer
    x = 180,479.96

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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.