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Finding the Third Proportional to 25,100.25 and 54,088.50

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Solution

The third proportional to 25,100.25 and 54,088.50 is: 116,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,100.25 : 54,088.50 = 54,088.50 : x
  2. Step 2: Convert to fraction form
    25,100.25/54,088.50 = 54,088.50/x
  3. Step 3: Cross multiply
    25,100.25x = 54,088.50 × 54,088.50
  4. Step 4: Simplify right side
    25,100.25x = 2,925,565,832.25
  5. Step 5: Solve for x
    x = 2,925,565,832.25/25,100.25
  6. Step 6: Final answer
    x = 116,555.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.