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Finding the Third Proportional to 11,962.69 and 27,941.06

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Solution

The third proportional to 11,962.69 and 27,941.06 is: 65,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.69 : 27,941.06 = 27,941.06 : x
  2. Step 2: Convert to fraction form
    11,962.69/27,941.06 = 27,941.06/x
  3. Step 3: Cross multiply
    11,962.69x = 27,941.06 × 27,941.06
  4. Step 4: Simplify right side
    11,962.69x = 780,702,973.63
  5. Step 5: Solve for x
    x = 780,702,973.63/11,962.69
  6. Step 6: Final answer
    x = 65,261.50

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.