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Finding the Third Proportional to 25,977.38 and 56,055.38

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Solution

The third proportional to 25,977.38 and 56,055.38 is: 120,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,977.38 : 56,055.38 = 56,055.38 : x
  2. Step 2: Convert to fraction form
    25,977.38/56,055.38 = 56,055.38/x
  3. Step 3: Cross multiply
    25,977.38x = 56,055.38 × 56,055.38
  4. Step 4: Simplify right side
    25,977.38x = 3,142,205,066.39
  5. Step 5: Solve for x
    x = 3,142,205,066.39/25,977.38
  6. Step 6: Final answer
    x = 120,959.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.