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Finding the Third Proportional to 11,646.75 and 25,137.50

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Solution

The third proportional to 11,646.75 and 25,137.50 is: 54,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.75 : 25,137.50 = 25,137.50 : x
  2. Step 2: Convert to fraction form
    11,646.75/25,137.50 = 25,137.50/x
  3. Step 3: Cross multiply
    11,646.75x = 25,137.50 × 25,137.50
  4. Step 4: Simplify right side
    11,646.75x = 631,893,906.25
  5. Step 5: Solve for x
    x = 631,893,906.25/11,646.75
  6. Step 6: Final answer
    x = 54,254.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.