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Finding the Third Proportional to 10,106.56 and 21,733.19

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Solution

The third proportional to 10,106.56 and 21,733.19 is: 46,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.56 : 21,733.19 = 21,733.19 : x
  2. Step 2: Convert to fraction form
    10,106.56/21,733.19 = 21,733.19/x
  3. Step 3: Cross multiply
    10,106.56x = 21,733.19 × 21,733.19
  4. Step 4: Simplify right side
    10,106.56x = 472,331,438.91
  5. Step 5: Solve for x
    x = 472,331,438.91/10,106.56
  6. Step 6: Final answer
    x = 46,735.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.