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Finding the Third Proportional to 10,186.59 and 21,479.34

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Solution

The third proportional to 10,186.59 and 21,479.34 is: 45,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.59 : 21,479.34 = 21,479.34 : x
  2. Step 2: Convert to fraction form
    10,186.59/21,479.34 = 21,479.34/x
  3. Step 3: Cross multiply
    10,186.59x = 21,479.34 × 21,479.34
  4. Step 4: Simplify right side
    10,186.59x = 461,362,207.93
  5. Step 5: Solve for x
    x = 461,362,207.93/10,186.59
  6. Step 6: Final answer
    x = 45,291.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.