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Finding the Third Proportional to 22,158 and 31,034

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Solution

The third proportional to 22,158 and 31,034 is: 43,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,158 : 31,034 = 31,034 : x
  2. Step 2: Convert to fraction form
    22,158/31,034 = 31,034/x
  3. Step 3: Cross multiply
    22,158x = 31,034 × 31,034
  4. Step 4: Simplify right side
    22,158x = 963,109,156
  5. Step 5: Solve for x
    x = 963,109,156/22,158
  6. Step 6: Final answer
    x = 43,465.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.