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Finding the Third Proportional to 22,356 and 31,752

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Solution

The third proportional to 22,356 and 31,752 is: 45,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356 : 31,752 = 31,752 : x
  2. Step 2: Convert to fraction form
    22,356/31,752 = 31,752/x
  3. Step 3: Cross multiply
    22,356x = 31,752 × 31,752
  4. Step 4: Simplify right side
    22,356x = 1,008,189,504
  5. Step 5: Solve for x
    x = 1,008,189,504/22,356
  6. Step 6: Final answer
    x = 45,097.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.