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Finding the Third Proportional to 11,147.63 and 14,868.56

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Solution

The third proportional to 11,147.63 and 14,868.56 is: 19,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.63 : 14,868.56 = 14,868.56 : x
  2. Step 2: Convert to fraction form
    11,147.63/14,868.56 = 14,868.56/x
  3. Step 3: Cross multiply
    11,147.63x = 14,868.56 × 14,868.56
  4. Step 4: Simplify right side
    11,147.63x = 221,074,150.82
  5. Step 5: Solve for x
    x = 221,074,150.82/11,147.63
  6. Step 6: Final answer
    x = 19,831.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.