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Finding the Third Proportional to 26,106.75 and 39,772.13

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Solution

The third proportional to 26,106.75 and 39,772.13 is: 60,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,106.75 : 39,772.13 = 39,772.13 : x
  2. Step 2: Convert to fraction form
    26,106.75/39,772.13 = 39,772.13/x
  3. Step 3: Cross multiply
    26,106.75x = 39,772.13 × 39,772.13
  4. Step 4: Simplify right side
    26,106.75x = 1,581,821,927.02
  5. Step 5: Solve for x
    x = 1,581,821,927.02/26,106.75
  6. Step 6: Final answer
    x = 60,590.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.