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Finding the Third Proportional to 25,285.50 and 44,689.50

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Solution

The third proportional to 25,285.50 and 44,689.50 is: 78,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,285.50 : 44,689.50 = 44,689.50 : x
  2. Step 2: Convert to fraction form
    25,285.50/44,689.50 = 44,689.50/x
  3. Step 3: Cross multiply
    25,285.50x = 44,689.50 × 44,689.50
  4. Step 4: Simplify right side
    25,285.50x = 1,997,151,410.25
  5. Step 5: Solve for x
    x = 1,997,151,410.25/25,285.50
  6. Step 6: Final answer
    x = 78,984.06

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.