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Finding the Third Proportional to 26,289.13 and 57,336.38

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Solution

The third proportional to 26,289.13 and 57,336.38 is: 125,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289.13 : 57,336.38 = 57,336.38 : x
  2. Step 2: Convert to fraction form
    26,289.13/57,336.38 = 57,336.38/x
  3. Step 3: Cross multiply
    26,289.13x = 57,336.38 × 57,336.38
  4. Step 4: Simplify right side
    26,289.13x = 3,287,459,898.14
  5. Step 5: Solve for x
    x = 3,287,459,898.14/26,289.13
  6. Step 6: Final answer
    x = 125,050.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.