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Finding the Third Proportional to 5,973.75 and 13,489.03

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Solution

The third proportional to 5,973.75 and 13,489.03 is: 30,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.75 : 13,489.03 = 13,489.03 : x
  2. Step 2: Convert to fraction form
    5,973.75/13,489.03 = 13,489.03/x
  3. Step 3: Cross multiply
    5,973.75x = 13,489.03 × 13,489.03
  4. Step 4: Simplify right side
    5,973.75x = 181,953,964.06
  5. Step 5: Solve for x
    x = 181,953,964.06/5,973.75
  6. Step 6: Final answer
    x = 30,458.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.