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Finding the Third Proportional to 10,971 and 15,958.50

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Solution

The third proportional to 10,971 and 15,958.50 is: 23,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971 : 15,958.50 = 15,958.50 : x
  2. Step 2: Convert to fraction form
    10,971/15,958.50 = 15,958.50/x
  3. Step 3: Cross multiply
    10,971x = 15,958.50 × 15,958.50
  4. Step 4: Simplify right side
    10,971x = 254,673,722.25
  5. Step 5: Solve for x
    x = 254,673,722.25/10,971
  6. Step 6: Final answer
    x = 23,213.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.