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Finding the Third Proportional to 24,842 and 37,911

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Solution

The third proportional to 24,842 and 37,911 is: 57,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842 : 37,911 = 37,911 : x
  2. Step 2: Convert to fraction form
    24,842/37,911 = 37,911/x
  3. Step 3: Cross multiply
    24,842x = 37,911 × 37,911
  4. Step 4: Simplify right side
    24,842x = 1,437,243,921
  5. Step 5: Solve for x
    x = 1,437,243,921/24,842
  6. Step 6: Final answer
    x = 57,855.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.