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Finding the Third Proportional to 23,862.75 and 53,913.38

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Solution

The third proportional to 23,862.75 and 53,913.38 is: 121,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.75 : 53,913.38 = 53,913.38 : x
  2. Step 2: Convert to fraction form
    23,862.75/53,913.38 = 53,913.38/x
  3. Step 3: Cross multiply
    23,862.75x = 53,913.38 × 53,913.38
  4. Step 4: Simplify right side
    23,862.75x = 2,906,652,003.89
  5. Step 5: Solve for x
    x = 2,906,652,003.89/23,862.75
  6. Step 6: Final answer
    x = 121,807.08

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.