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Finding the Third Proportional to 6,548.34 and 14,189.34

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Solution

The third proportional to 6,548.34 and 14,189.34 is: 30,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.34 : 14,189.34 = 14,189.34 : x
  2. Step 2: Convert to fraction form
    6,548.34/14,189.34 = 14,189.34/x
  3. Step 3: Cross multiply
    6,548.34x = 14,189.34 × 14,189.34
  4. Step 4: Simplify right side
    6,548.34x = 201,337,476.06
  5. Step 5: Solve for x
    x = 201,337,476.06/6,548.34
  6. Step 6: Final answer
    x = 30,746.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.