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Finding the Third Proportional to 10,968.38 and 23,688.06

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Solution

The third proportional to 10,968.38 and 23,688.06 is: 51,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.38 : 23,688.06 = 23,688.06 : x
  2. Step 2: Convert to fraction form
    10,968.38/23,688.06 = 23,688.06/x
  3. Step 3: Cross multiply
    10,968.38x = 23,688.06 × 23,688.06
  4. Step 4: Simplify right side
    10,968.38x = 561,124,305.00
  5. Step 5: Solve for x
    x = 561,124,305.00/10,968.38
  6. Step 6: Final answer
    x = 51,158.38

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