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Finding the Third Proportional to 8,541 and 11,821.50

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Solution

The third proportional to 8,541 and 11,821.50 is: 16,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541 : 11,821.50 = 11,821.50 : x
  2. Step 2: Convert to fraction form
    8,541/11,821.50 = 11,821.50/x
  3. Step 3: Cross multiply
    8,541x = 11,821.50 × 11,821.50
  4. Step 4: Simplify right side
    8,541x = 139,747,862.25
  5. Step 5: Solve for x
    x = 139,747,862.25/8,541
  6. Step 6: Final answer
    x = 16,362.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.