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Finding the Third Proportional to 5,410.13 and 11,885.06

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Solution

The third proportional to 5,410.13 and 11,885.06 is: 26,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.13 : 11,885.06 = 11,885.06 : x
  2. Step 2: Convert to fraction form
    5,410.13/11,885.06 = 11,885.06/x
  3. Step 3: Cross multiply
    5,410.13x = 11,885.06 × 11,885.06
  4. Step 4: Simplify right side
    5,410.13x = 141,254,710.63
  5. Step 5: Solve for x
    x = 141,254,710.63/5,410.13
  6. Step 6: Final answer
    x = 26,109.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.