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Finding the Third Proportional to 41,570 and 54,214

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Solution

The third proportional to 41,570 and 54,214 is: 70,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,570 : 54,214 = 54,214 : x
  2. Step 2: Convert to fraction form
    41,570/54,214 = 54,214/x
  3. Step 3: Cross multiply
    41,570x = 54,214 × 54,214
  4. Step 4: Simplify right side
    41,570x = 2,939,157,796
  5. Step 5: Solve for x
    x = 2,939,157,796/41,570
  6. Step 6: Final answer
    x = 70,703.82

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.