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Finding the Third Proportional to 11,684.50 and 25,637

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Solution

The third proportional to 11,684.50 and 25,637 is: 56,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.50 : 25,637 = 25,637 : x
  2. Step 2: Convert to fraction form
    11,684.50/25,637 = 25,637/x
  3. Step 3: Cross multiply
    11,684.50x = 25,637 × 25,637
  4. Step 4: Simplify right side
    11,684.50x = 657,255,769
  5. Step 5: Solve for x
    x = 657,255,769/11,684.50
  6. Step 6: Final answer
    x = 56,250.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.