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Finding the Third Proportional to 28,498.50 and 32,467.50

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Solution

The third proportional to 28,498.50 and 32,467.50 is: 36,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,498.50 : 32,467.50 = 32,467.50 : x
  2. Step 2: Convert to fraction form
    28,498.50/32,467.50 = 32,467.50/x
  3. Step 3: Cross multiply
    28,498.50x = 32,467.50 × 32,467.50
  4. Step 4: Simplify right side
    28,498.50x = 1,054,138,556.25
  5. Step 5: Solve for x
    x = 1,054,138,556.25/28,498.50
  6. Step 6: Final answer
    x = 36,989.26

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.