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Finding the Third Proportional to 15,531.75 and 23,412.38

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Solution

The third proportional to 15,531.75 and 23,412.38 is: 35,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,531.75 : 23,412.38 = 23,412.38 : x
  2. Step 2: Convert to fraction form
    15,531.75/23,412.38 = 23,412.38/x
  3. Step 3: Cross multiply
    15,531.75x = 23,412.38 × 23,412.38
  4. Step 4: Simplify right side
    15,531.75x = 548,139,303.14
  5. Step 5: Solve for x
    x = 548,139,303.14/15,531.75
  6. Step 6: Final answer
    x = 35,291.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.