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Finding the Third Proportional to 10,831.50 and 14,487.94

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Solution

The third proportional to 10,831.50 and 14,487.94 is: 19,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.50 : 14,487.94 = 14,487.94 : x
  2. Step 2: Convert to fraction form
    10,831.50/14,487.94 = 14,487.94/x
  3. Step 3: Cross multiply
    10,831.50x = 14,487.94 × 14,487.94
  4. Step 4: Simplify right side
    10,831.50x = 209,900,333.00
  5. Step 5: Solve for x
    x = 209,900,333.00/10,831.50
  6. Step 6: Final answer
    x = 19,378.69

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.