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Finding the Third Proportional to 5,969.64 and 8,831.53

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Solution

The third proportional to 5,969.64 and 8,831.53 is: 13,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.64 : 8,831.53 = 8,831.53 : x
  2. Step 2: Convert to fraction form
    5,969.64/8,831.53 = 8,831.53/x
  3. Step 3: Cross multiply
    5,969.64x = 8,831.53 × 8,831.53
  4. Step 4: Simplify right side
    5,969.64x = 77,995,944.22
  5. Step 5: Solve for x
    x = 77,995,944.22/5,969.64
  6. Step 6: Final answer
    x = 13,065.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.