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Finding the Third Proportional to 6,261.05 and 13,570.03

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Solution

The third proportional to 6,261.05 and 13,570.03 is: 29,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.05 : 13,570.03 = 13,570.03 : x
  2. Step 2: Convert to fraction form
    6,261.05/13,570.03 = 13,570.03/x
  3. Step 3: Cross multiply
    6,261.05x = 13,570.03 × 13,570.03
  4. Step 4: Simplify right side
    6,261.05x = 184,145,748.13
  5. Step 5: Solve for x
    x = 184,145,748.13/6,261.05
  6. Step 6: Final answer
    x = 29,411.34

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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.