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Finding the Third Proportional to 22,400 and 30,316

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Solution

The third proportional to 22,400 and 30,316 is: 41,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,400 : 30,316 = 30,316 : x
  2. Step 2: Convert to fraction form
    22,400/30,316 = 30,316/x
  3. Step 3: Cross multiply
    22,400x = 30,316 × 30,316
  4. Step 4: Simplify right side
    22,400x = 919,059,856
  5. Step 5: Solve for x
    x = 919,059,856/22,400
  6. Step 6: Final answer
    x = 41,029.46

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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.