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Finding the Third Proportional to 26,020.13 and 53,265.38

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Solution

The third proportional to 26,020.13 and 53,265.38 is: 109,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,020.13 : 53,265.38 = 53,265.38 : x
  2. Step 2: Convert to fraction form
    26,020.13/53,265.38 = 53,265.38/x
  3. Step 3: Cross multiply
    26,020.13x = 53,265.38 × 53,265.38
  4. Step 4: Simplify right side
    26,020.13x = 2,837,200,173.89
  5. Step 5: Solve for x
    x = 2,837,200,173.89/26,020.13
  6. Step 6: Final answer
    x = 109,038.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.