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Finding the Third Proportional to 10,362.94 and 15,529.22

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Solution

The third proportional to 10,362.94 and 15,529.22 is: 23,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.94 : 15,529.22 = 15,529.22 : x
  2. Step 2: Convert to fraction form
    10,362.94/15,529.22 = 15,529.22/x
  3. Step 3: Cross multiply
    10,362.94x = 15,529.22 × 15,529.22
  4. Step 4: Simplify right side
    10,362.94x = 241,156,634.99
  5. Step 5: Solve for x
    x = 241,156,634.99/10,362.94
  6. Step 6: Final answer
    x = 23,271.07

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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.