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Finding the Third Proportional to 9,880.31 and 21,152.81

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Solution

The third proportional to 9,880.31 and 21,152.81 is: 45,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.31 : 21,152.81 = 21,152.81 : x
  2. Step 2: Convert to fraction form
    9,880.31/21,152.81 = 21,152.81/x
  3. Step 3: Cross multiply
    9,880.31x = 21,152.81 × 21,152.81
  4. Step 4: Simplify right side
    9,880.31x = 447,441,476.66
  5. Step 5: Solve for x
    x = 447,441,476.66/9,880.31
  6. Step 6: Final answer
    x = 45,286.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.