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Finding the Third Proportional to 40,833 and 55,416

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Solution

The third proportional to 40,833 and 55,416 is: 75,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,833 : 55,416 = 55,416 : x
  2. Step 2: Convert to fraction form
    40,833/55,416 = 55,416/x
  3. Step 3: Cross multiply
    40,833x = 55,416 × 55,416
  4. Step 4: Simplify right side
    40,833x = 3,070,933,056
  5. Step 5: Solve for x
    x = 3,070,933,056/40,833
  6. Step 6: Final answer
    x = 75,207.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.