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Finding the Third Proportional to 11,755.13 and 25,127.72

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Solution

The third proportional to 11,755.13 and 25,127.72 is: 53,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.13 : 25,127.72 = 25,127.72 : x
  2. Step 2: Convert to fraction form
    11,755.13/25,127.72 = 25,127.72/x
  3. Step 3: Cross multiply
    11,755.13x = 25,127.72 × 25,127.72
  4. Step 4: Simplify right side
    11,755.13x = 631,402,249.58
  5. Step 5: Solve for x
    x = 631,402,249.58/11,755.13
  6. Step 6: Final answer
    x = 53,712.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.