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Finding the Third Proportional to 25,980.75 and 56,018.25

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Solution

The third proportional to 25,980.75 and 56,018.25 is: 120,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.75 : 56,018.25 = 56,018.25 : x
  2. Step 2: Convert to fraction form
    25,980.75/56,018.25 = 56,018.25/x
  3. Step 3: Cross multiply
    25,980.75x = 56,018.25 × 56,018.25
  4. Step 4: Simplify right side
    25,980.75x = 3,138,044,333.06
  5. Step 5: Solve for x
    x = 3,138,044,333.06/25,980.75
  6. Step 6: Final answer
    x = 120,783.44

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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.