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Finding the Third Proportional to 25,664.34 and 50,085.84

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Solution

The third proportional to 25,664.34 and 50,085.84 is: 97,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,664.34 : 50,085.84 = 50,085.84 : x
  2. Step 2: Convert to fraction form
    25,664.34/50,085.84 = 50,085.84/x
  3. Step 3: Cross multiply
    25,664.34x = 50,085.84 × 50,085.84
  4. Step 4: Simplify right side
    25,664.34x = 2,508,591,744.15
  5. Step 5: Solve for x
    x = 2,508,591,744.15/25,664.34
  6. Step 6: Final answer
    x = 97,746.19

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.