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Finding the Third Proportional to 5,460.01 and 11,812.61

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Solution

The third proportional to 5,460.01 and 11,812.61 is: 25,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.01 : 11,812.61 = 11,812.61 : x
  2. Step 2: Convert to fraction form
    5,460.01/11,812.61 = 11,812.61/x
  3. Step 3: Cross multiply
    5,460.01x = 11,812.61 × 11,812.61
  4. Step 4: Simplify right side
    5,460.01x = 139,537,647.96
  5. Step 5: Solve for x
    x = 139,537,647.96/5,460.01
  6. Step 6: Final answer
    x = 25,556.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.