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Finding the Third Proportional to 5,507.01 and 11,706.00

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Solution

The third proportional to 5,507.01 and 11,706.00 is: 24,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.01 : 11,706.00 = 11,706.00 : x
  2. Step 2: Convert to fraction form
    5,507.01/11,706.00 = 11,706.00/x
  3. Step 3: Cross multiply
    5,507.01x = 11,706.00 × 11,706.00
  4. Step 4: Simplify right side
    5,507.01x = 137,030,504.59
  5. Step 5: Solve for x
    x = 137,030,504.59/5,507.01
  6. Step 6: Final answer
    x = 24,882.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.