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Finding the Third Proportional to 10,059.19 and 21,439.69

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Solution

The third proportional to 10,059.19 and 21,439.69 is: 45,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.19 : 21,439.69 = 21,439.69 : x
  2. Step 2: Convert to fraction form
    10,059.19/21,439.69 = 21,439.69/x
  3. Step 3: Cross multiply
    10,059.19x = 21,439.69 × 21,439.69
  4. Step 4: Simplify right side
    10,059.19x = 459,660,200.10
  5. Step 5: Solve for x
    x = 459,660,200.10/10,059.19
  6. Step 6: Final answer
    x = 45,695.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.