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Finding the Third Proportional to 23,957 and 51,197.50

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Solution

The third proportional to 23,957 and 51,197.50 is: 109,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957 : 51,197.50 = 51,197.50 : x
  2. Step 2: Convert to fraction form
    23,957/51,197.50 = 51,197.50/x
  3. Step 3: Cross multiply
    23,957x = 51,197.50 × 51,197.50
  4. Step 4: Simplify right side
    23,957x = 2,621,184,006.25
  5. Step 5: Solve for x
    x = 2,621,184,006.25/23,957
  6. Step 6: Final answer
    x = 109,412.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.