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Finding the Third Proportional to 10,959.13 and 23,968.38

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Solution

The third proportional to 10,959.13 and 23,968.38 is: 52,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.13 : 23,968.38 = 23,968.38 : x
  2. Step 2: Convert to fraction form
    10,959.13/23,968.38 = 23,968.38/x
  3. Step 3: Cross multiply
    10,959.13x = 23,968.38 × 23,968.38
  4. Step 4: Simplify right side
    10,959.13x = 574,483,000.14
  5. Step 5: Solve for x
    x = 574,483,000.14/10,959.13
  6. Step 6: Final answer
    x = 52,420.52

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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.