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Finding the Third Proportional to 30,424 and 40,696

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Solution

The third proportional to 30,424 and 40,696 is: 54,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424 : 40,696 = 40,696 : x
  2. Step 2: Convert to fraction form
    30,424/40,696 = 40,696/x
  3. Step 3: Cross multiply
    30,424x = 40,696 × 40,696
  4. Step 4: Simplify right side
    30,424x = 1,656,164,416
  5. Step 5: Solve for x
    x = 1,656,164,416/30,424
  6. Step 6: Final answer
    x = 54,436.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.