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Finding the Third Proportional to 10,673.86 and 23,398.03

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Solution

The third proportional to 10,673.86 and 23,398.03 is: 51,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.86 : 23,398.03 = 23,398.03 : x
  2. Step 2: Convert to fraction form
    10,673.86/23,398.03 = 23,398.03/x
  3. Step 3: Cross multiply
    10,673.86x = 23,398.03 × 23,398.03
  4. Step 4: Simplify right side
    10,673.86x = 547,467,866.38
  5. Step 5: Solve for x
    x = 547,467,866.38/10,673.86
  6. Step 6: Final answer
    x = 51,290.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.