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Finding the Third Proportional to 10,575.56 and 23,090.06

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Solution

The third proportional to 10,575.56 and 23,090.06 is: 50,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.56 : 23,090.06 = 23,090.06 : x
  2. Step 2: Convert to fraction form
    10,575.56/23,090.06 = 23,090.06/x
  3. Step 3: Cross multiply
    10,575.56x = 23,090.06 × 23,090.06
  4. Step 4: Simplify right side
    10,575.56x = 533,150,986.25
  5. Step 5: Solve for x
    x = 533,150,986.25/10,575.56
  6. Step 6: Final answer
    x = 50,413.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.