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Finding the Third Proportional to 5,458.96 and 11,706.00

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Solution

The third proportional to 5,458.96 and 11,706.00 is: 25,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.96 : 11,706.00 = 11,706.00 : x
  2. Step 2: Convert to fraction form
    5,458.96/11,706.00 = 11,706.00/x
  3. Step 3: Cross multiply
    5,458.96x = 11,706.00 × 11,706.00
  4. Step 4: Simplify right side
    5,458.96x = 137,030,504.59
  5. Step 5: Solve for x
    x = 137,030,504.59/5,458.96
  6. Step 6: Final answer
    x = 25,101.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.