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Finding the Third Proportional to 29,572 and 44,241

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Solution

The third proportional to 29,572 and 44,241 is: 66,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,572 : 44,241 = 44,241 : x
  2. Step 2: Convert to fraction form
    29,572/44,241 = 44,241/x
  3. Step 3: Cross multiply
    29,572x = 44,241 × 44,241
  4. Step 4: Simplify right side
    29,572x = 1,957,266,081
  5. Step 5: Solve for x
    x = 1,957,266,081/29,572
  6. Step 6: Final answer
    x = 66,186.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.