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Finding the Third Proportional to 23,564.67 and 32,962.78

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Solution

The third proportional to 23,564.67 and 32,962.78 is: 46,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.67 : 32,962.78 = 32,962.78 : x
  2. Step 2: Convert to fraction form
    23,564.67/32,962.78 = 32,962.78/x
  3. Step 3: Cross multiply
    23,564.67x = 32,962.78 × 32,962.78
  4. Step 4: Simplify right side
    23,564.67x = 1,086,544,947.74
  5. Step 5: Solve for x
    x = 1,086,544,947.74/23,564.67
  6. Step 6: Final answer
    x = 46,109.06

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.