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Finding the Third Proportional to 10,366.50 and 15,935.25

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Solution

The third proportional to 10,366.50 and 15,935.25 is: 24,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.50 : 15,935.25 = 15,935.25 : x
  2. Step 2: Convert to fraction form
    10,366.50/15,935.25 = 15,935.25/x
  3. Step 3: Cross multiply
    10,366.50x = 15,935.25 × 15,935.25
  4. Step 4: Simplify right side
    10,366.50x = 253,932,192.56
  5. Step 5: Solve for x
    x = 253,932,192.56/10,366.50
  6. Step 6: Final answer
    x = 24,495.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.