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Finding the Third Proportional to 17,427 and 26,663.50

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Solution

The third proportional to 17,427 and 26,663.50 is: 40,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,427 : 26,663.50 = 26,663.50 : x
  2. Step 2: Convert to fraction form
    17,427/26,663.50 = 26,663.50/x
  3. Step 3: Cross multiply
    17,427x = 26,663.50 × 26,663.50
  4. Step 4: Simplify right side
    17,427x = 710,942,232.25
  5. Step 5: Solve for x
    x = 710,942,232.25/17,427
  6. Step 6: Final answer
    x = 40,795.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.