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Finding the Third Proportional to 23,417.23 and 34,505.68

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Solution

The third proportional to 23,417.23 and 34,505.68 is: 50,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,417.23 : 34,505.68 = 34,505.68 : x
  2. Step 2: Convert to fraction form
    23,417.23/34,505.68 = 34,505.68/x
  3. Step 3: Cross multiply
    23,417.23x = 34,505.68 × 34,505.68
  4. Step 4: Simplify right side
    23,417.23x = 1,190,642,200.27
  5. Step 5: Solve for x
    x = 1,190,642,200.27/23,417.23
  6. Step 6: Final answer
    x = 50,844.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.