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Finding the Third Proportional to 22,925 and 30,931

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Solution

The third proportional to 22,925 and 30,931 is: 41,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925 : 30,931 = 30,931 : x
  2. Step 2: Convert to fraction form
    22,925/30,931 = 30,931/x
  3. Step 3: Cross multiply
    22,925x = 30,931 × 30,931
  4. Step 4: Simplify right side
    22,925x = 956,726,761
  5. Step 5: Solve for x
    x = 956,726,761/22,925
  6. Step 6: Final answer
    x = 41,732.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.