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Finding the Third Proportional to 5,573.50 and 11,987

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Solution

The third proportional to 5,573.50 and 11,987 is: 25,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.50 : 11,987 = 11,987 : x
  2. Step 2: Convert to fraction form
    5,573.50/11,987 = 11,987/x
  3. Step 3: Cross multiply
    5,573.50x = 11,987 × 11,987
  4. Step 4: Simplify right side
    5,573.50x = 143,688,169
  5. Step 5: Solve for x
    x = 143,688,169/5,573.50
  6. Step 6: Final answer
    x = 25,780.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.