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Finding the Third Proportional to 15,541 and 24,242

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Solution

The third proportional to 15,541 and 24,242 is: 37,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,541 : 24,242 = 24,242 : x
  2. Step 2: Convert to fraction form
    15,541/24,242 = 24,242/x
  3. Step 3: Cross multiply
    15,541x = 24,242 × 24,242
  4. Step 4: Simplify right side
    15,541x = 587,674,564
  5. Step 5: Solve for x
    x = 587,674,564/15,541
  6. Step 6: Final answer
    x = 37,814.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.