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Finding the Third Proportional to 10,913 and 23,567

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Solution

The third proportional to 10,913 and 23,567 is: 50,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913 : 23,567 = 23,567 : x
  2. Step 2: Convert to fraction form
    10,913/23,567 = 23,567/x
  3. Step 3: Cross multiply
    10,913x = 23,567 × 23,567
  4. Step 4: Simplify right side
    10,913x = 555,403,489
  5. Step 5: Solve for x
    x = 555,403,489/10,913
  6. Step 6: Final answer
    x = 50,893.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.