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Finding the Third Proportional to 5,720.84 and 12,056.77

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Solution

The third proportional to 5,720.84 and 12,056.77 is: 25,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.84 : 12,056.77 = 12,056.77 : x
  2. Step 2: Convert to fraction form
    5,720.84/12,056.77 = 12,056.77/x
  3. Step 3: Cross multiply
    5,720.84x = 12,056.77 × 12,056.77
  4. Step 4: Simplify right side
    5,720.84x = 145,365,597.34
  5. Step 5: Solve for x
    x = 145,365,597.34/5,720.84
  6. Step 6: Final answer
    x = 25,409.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.