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Finding the Third Proportional to 10,124.25 and 20,653.13

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Solution

The third proportional to 10,124.25 and 20,653.13 is: 42,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.25 : 20,653.13 = 20,653.13 : x
  2. Step 2: Convert to fraction form
    10,124.25/20,653.13 = 20,653.13/x
  3. Step 3: Cross multiply
    10,124.25x = 20,653.13 × 20,653.13
  4. Step 4: Simplify right side
    10,124.25x = 426,551,572.27
  5. Step 5: Solve for x
    x = 426,551,572.27/10,124.25
  6. Step 6: Final answer
    x = 42,131.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.