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Finding the Third Proportional to 25,094.25 and 54,562.50

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Solution

The third proportional to 25,094.25 and 54,562.50 is: 118,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094.25 : 54,562.50 = 54,562.50 : x
  2. Step 2: Convert to fraction form
    25,094.25/54,562.50 = 54,562.50/x
  3. Step 3: Cross multiply
    25,094.25x = 54,562.50 × 54,562.50
  4. Step 4: Simplify right side
    25,094.25x = 2,977,066,406.25
  5. Step 5: Solve for x
    x = 2,977,066,406.25/25,094.25
  6. Step 6: Final answer
    x = 118,635.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.