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Finding the Third Proportional to 25,461.84 and 54,824.34

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Solution

The third proportional to 25,461.84 and 54,824.34 is: 118,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,461.84 : 54,824.34 = 54,824.34 : x
  2. Step 2: Convert to fraction form
    25,461.84/54,824.34 = 54,824.34/x
  3. Step 3: Cross multiply
    25,461.84x = 54,824.34 × 54,824.34
  4. Step 4: Simplify right side
    25,461.84x = 3,005,708,667.62
  5. Step 5: Solve for x
    x = 3,005,708,667.62/25,461.84
  6. Step 6: Final answer
    x = 118,047.57

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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.