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Finding the Third Proportional to 12,074.06 and 17,744.06

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Solution

The third proportional to 12,074.06 and 17,744.06 is: 26,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.06 : 17,744.06 = 17,744.06 : x
  2. Step 2: Convert to fraction form
    12,074.06/17,744.06 = 17,744.06/x
  3. Step 3: Cross multiply
    12,074.06x = 17,744.06 × 17,744.06
  4. Step 4: Simplify right side
    12,074.06x = 314,851,754.00
  5. Step 5: Solve for x
    x = 314,851,754.00/12,074.06
  6. Step 6: Final answer
    x = 26,076.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.