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Finding the Third Proportional to 30,196 and 40,296

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Solution

The third proportional to 30,196 and 40,296 is: 53,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196 : 40,296 = 40,296 : x
  2. Step 2: Convert to fraction form
    30,196/40,296 = 40,296/x
  3. Step 3: Cross multiply
    30,196x = 40,296 × 40,296
  4. Step 4: Simplify right side
    30,196x = 1,623,767,616
  5. Step 5: Solve for x
    x = 1,623,767,616/30,196
  6. Step 6: Final answer
    x = 53,774.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.