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Finding the Third Proportional to 23,648.75 and 35,268.13

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Solution

The third proportional to 23,648.75 and 35,268.13 is: 52,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.75 : 35,268.13 = 35,268.13 : x
  2. Step 2: Convert to fraction form
    23,648.75/35,268.13 = 35,268.13/x
  3. Step 3: Cross multiply
    23,648.75x = 35,268.13 × 35,268.13
  4. Step 4: Simplify right side
    23,648.75x = 1,243,840,641.02
  5. Step 5: Solve for x
    x = 1,243,840,641.02/23,648.75
  6. Step 6: Final answer
    x = 52,596.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.