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Finding the Third Proportional to 26,987.34 and 37,738.69

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Solution

The third proportional to 26,987.34 and 37,738.69 is: 52,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,987.34 : 37,738.69 = 37,738.69 : x
  2. Step 2: Convert to fraction form
    26,987.34/37,738.69 = 37,738.69/x
  3. Step 3: Cross multiply
    26,987.34x = 37,738.69 × 37,738.69
  4. Step 4: Simplify right side
    26,987.34x = 1,424,208,534.22
  5. Step 5: Solve for x
    x = 1,424,208,534.22/26,987.34
  6. Step 6: Final answer
    x = 52,773.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.