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Finding the Third Proportional to 29,370 and 44,742

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Solution

The third proportional to 29,370 and 44,742 is: 68,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,370 : 44,742 = 44,742 : x
  2. Step 2: Convert to fraction form
    29,370/44,742 = 44,742/x
  3. Step 3: Cross multiply
    29,370x = 44,742 × 44,742
  4. Step 4: Simplify right side
    29,370x = 2,001,846,564
  5. Step 5: Solve for x
    x = 2,001,846,564/29,370
  6. Step 6: Final answer
    x = 68,159.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.