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Finding the Third Proportional to 34,205 and 54,642

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Solution

The third proportional to 34,205 and 54,642 is: 87,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205 : 54,642 = 54,642 : x
  2. Step 2: Convert to fraction form
    34,205/54,642 = 54,642/x
  3. Step 3: Cross multiply
    34,205x = 54,642 × 54,642
  4. Step 4: Simplify right side
    34,205x = 2,985,748,164
  5. Step 5: Solve for x
    x = 2,985,748,164/34,205
  6. Step 6: Final answer
    x = 87,289.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.