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Finding the Third Proportional to 23,946.75 and 52,083

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Solution

The third proportional to 23,946.75 and 52,083 is: 113,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,946.75 : 52,083 = 52,083 : x
  2. Step 2: Convert to fraction form
    23,946.75/52,083 = 52,083/x
  3. Step 3: Cross multiply
    23,946.75x = 52,083 × 52,083
  4. Step 4: Simplify right side
    23,946.75x = 2,712,638,889
  5. Step 5: Solve for x
    x = 2,712,638,889/23,946.75
  6. Step 6: Final answer
    x = 113,277.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.