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Finding the Third Proportional to 10,971 and 23,693

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Solution

The third proportional to 10,971 and 23,693 is: 51,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971 : 23,693 = 23,693 : x
  2. Step 2: Convert to fraction form
    10,971/23,693 = 23,693/x
  3. Step 3: Cross multiply
    10,971x = 23,693 × 23,693
  4. Step 4: Simplify right side
    10,971x = 561,358,249
  5. Step 5: Solve for x
    x = 561,358,249/10,971
  6. Step 6: Final answer
    x = 51,167.46

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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.