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Finding the Third Proportional to 23,985.38 and 35,980.88

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Solution

The third proportional to 23,985.38 and 35,980.88 is: 53,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,985.38 : 35,980.88 = 35,980.88 : x
  2. Step 2: Convert to fraction form
    23,985.38/35,980.88 = 35,980.88/x
  3. Step 3: Cross multiply
    23,985.38x = 35,980.88 × 35,980.88
  4. Step 4: Simplify right side
    23,985.38x = 1,294,623,365.77
  5. Step 5: Solve for x
    x = 1,294,623,365.77/23,985.38
  6. Step 6: Final answer
    x = 53,975.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.