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Finding the Third Proportional to 10,615.50 and 15,927.75

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Solution

The third proportional to 10,615.50 and 15,927.75 is: 23,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.50 : 15,927.75 = 15,927.75 : x
  2. Step 2: Convert to fraction form
    10,615.50/15,927.75 = 15,927.75/x
  3. Step 3: Cross multiply
    10,615.50x = 15,927.75 × 15,927.75
  4. Step 4: Simplify right side
    10,615.50x = 253,693,220.06
  5. Step 5: Solve for x
    x = 253,693,220.06/10,615.50
  6. Step 6: Final answer
    x = 23,898.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.