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Finding the Third Proportional to 11,588 and 24,817

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Solution

The third proportional to 11,588 and 24,817 is: 53,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588 : 24,817 = 24,817 : x
  2. Step 2: Convert to fraction form
    11,588/24,817 = 24,817/x
  3. Step 3: Cross multiply
    11,588x = 24,817 × 24,817
  4. Step 4: Simplify right side
    11,588x = 615,883,489
  5. Step 5: Solve for x
    x = 615,883,489/11,588
  6. Step 6: Final answer
    x = 53,148.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.