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Finding the Third Proportional to 5,483.74 and 8,831.21

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Solution

The third proportional to 5,483.74 and 8,831.21 is: 14,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.74 : 8,831.21 = 8,831.21 : x
  2. Step 2: Convert to fraction form
    5,483.74/8,831.21 = 8,831.21/x
  3. Step 3: Cross multiply
    5,483.74x = 8,831.21 × 8,831.21
  4. Step 4: Simplify right side
    5,483.74x = 77,990,355.62
  5. Step 5: Solve for x
    x = 77,990,355.62/5,483.74
  6. Step 6: Final answer
    x = 14,222.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.