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Finding the Third Proportional to 12,741.75 and 27,030.94

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Solution

The third proportional to 12,741.75 and 27,030.94 is: 57,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.75 : 27,030.94 = 27,030.94 : x
  2. Step 2: Convert to fraction form
    12,741.75/27,030.94 = 27,030.94/x
  3. Step 3: Cross multiply
    12,741.75x = 27,030.94 × 27,030.94
  4. Step 4: Simplify right side
    12,741.75x = 730,671,582.13
  5. Step 5: Solve for x
    x = 730,671,582.13/12,741.75
  6. Step 6: Final answer
    x = 57,344.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.