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Finding the Third Proportional to 10,953.46 and 23,829.08

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Solution

The third proportional to 10,953.46 and 23,829.08 is: 51,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.46 : 23,829.08 = 23,829.08 : x
  2. Step 2: Convert to fraction form
    10,953.46/23,829.08 = 23,829.08/x
  3. Step 3: Cross multiply
    10,953.46x = 23,829.08 × 23,829.08
  4. Step 4: Simplify right side
    10,953.46x = 567,825,150.45
  5. Step 5: Solve for x
    x = 567,825,150.45/10,953.46
  6. Step 6: Final answer
    x = 51,839.81

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