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Finding the Third Proportional to 5,090.34 and 10,955.25

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Solution

The third proportional to 5,090.34 and 10,955.25 is: 23,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.34 : 10,955.25 = 10,955.25 : x
  2. Step 2: Convert to fraction form
    5,090.34/10,955.25 = 10,955.25/x
  3. Step 3: Cross multiply
    5,090.34x = 10,955.25 × 10,955.25
  4. Step 4: Simplify right side
    5,090.34x = 120,017,502.56
  5. Step 5: Solve for x
    x = 120,017,502.56/5,090.34
  6. Step 6: Final answer
    x = 23,577.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.