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Finding the Third Proportional to 44,572 and 65,167

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Solution

The third proportional to 44,572 and 65,167 is: 95,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,572 : 65,167 = 65,167 : x
  2. Step 2: Convert to fraction form
    44,572/65,167 = 65,167/x
  3. Step 3: Cross multiply
    44,572x = 65,167 × 65,167
  4. Step 4: Simplify right side
    44,572x = 4,246,737,889
  5. Step 5: Solve for x
    x = 4,246,737,889/44,572
  6. Step 6: Final answer
    x = 95,278.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.