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Finding the Third Proportional to 25,970.25 and 55,820.25

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Solution

The third proportional to 25,970.25 and 55,820.25 is: 119,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970.25 : 55,820.25 = 55,820.25 : x
  2. Step 2: Convert to fraction form
    25,970.25/55,820.25 = 55,820.25/x
  3. Step 3: Cross multiply
    25,970.25x = 55,820.25 × 55,820.25
  4. Step 4: Simplify right side
    25,970.25x = 3,115,900,310.06
  5. Step 5: Solve for x
    x = 3,115,900,310.06/25,970.25
  6. Step 6: Final answer
    x = 119,979.60

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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.