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Finding the Third Proportional to 23,730.75 and 37,784.25

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Solution

The third proportional to 23,730.75 and 37,784.25 is: 60,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.75 : 37,784.25 = 37,784.25 : x
  2. Step 2: Convert to fraction form
    23,730.75/37,784.25 = 37,784.25/x
  3. Step 3: Cross multiply
    23,730.75x = 37,784.25 × 37,784.25
  4. Step 4: Simplify right side
    23,730.75x = 1,427,649,548.06
  5. Step 5: Solve for x
    x = 1,427,649,548.06/23,730.75
  6. Step 6: Final answer
    x = 60,160.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.