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Finding the Third Proportional to 15,744 and 34,416

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Solution

The third proportional to 15,744 and 34,416 is: 75,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 34,416 = 34,416 : x
  2. Step 2: Convert to fraction form
    15,744/34,416 = 34,416/x
  3. Step 3: Cross multiply
    15,744x = 34,416 × 34,416
  4. Step 4: Simplify right side
    15,744x = 1,184,461,056
  5. Step 5: Solve for x
    x = 1,184,461,056/15,744
  6. Step 6: Final answer
    x = 75,232.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.