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Finding the Third Proportional to 22,752 and 32,828

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Solution

The third proportional to 22,752 and 32,828 is: 47,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752 : 32,828 = 32,828 : x
  2. Step 2: Convert to fraction form
    22,752/32,828 = 32,828/x
  3. Step 3: Cross multiply
    22,752x = 32,828 × 32,828
  4. Step 4: Simplify right side
    22,752x = 1,077,677,584
  5. Step 5: Solve for x
    x = 1,077,677,584/22,752
  6. Step 6: Final answer
    x = 47,366.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.