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Finding the Third Proportional to 10,459.69 and 22,992.47

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Solution

The third proportional to 10,459.69 and 22,992.47 is: 50,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.69 : 22,992.47 = 22,992.47 : x
  2. Step 2: Convert to fraction form
    10,459.69/22,992.47 = 22,992.47/x
  3. Step 3: Cross multiply
    10,459.69x = 22,992.47 × 22,992.47
  4. Step 4: Simplify right side
    10,459.69x = 528,653,619.22
  5. Step 5: Solve for x
    x = 528,653,619.22/10,459.69
  6. Step 6: Final answer
    x = 50,542.01

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