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Finding the Third Proportional to 20,709 and 46,099.13

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Solution

The third proportional to 20,709 and 46,099.13 is: 102,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709 : 46,099.13 = 46,099.13 : x
  2. Step 2: Convert to fraction form
    20,709/46,099.13 = 46,099.13/x
  3. Step 3: Cross multiply
    20,709x = 46,099.13 × 46,099.13
  4. Step 4: Simplify right side
    20,709x = 2,125,129,325.77
  5. Step 5: Solve for x
    x = 2,125,129,325.77/20,709
  6. Step 6: Final answer
    x = 102,618.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.