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Finding the Third Proportional to 31,752 and 60,624

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Solution

The third proportional to 31,752 and 60,624 is: 115,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752 : 60,624 = 60,624 : x
  2. Step 2: Convert to fraction form
    31,752/60,624 = 60,624/x
  3. Step 3: Cross multiply
    31,752x = 60,624 × 60,624
  4. Step 4: Simplify right side
    31,752x = 3,675,269,376
  5. Step 5: Solve for x
    x = 3,675,269,376/31,752
  6. Step 6: Final answer
    x = 115,749.22

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.