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Finding the Third Proportional to 14,455.25 and 31,556.50

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Solution

The third proportional to 14,455.25 and 31,556.50 is: 68,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.25 : 31,556.50 = 31,556.50 : x
  2. Step 2: Convert to fraction form
    14,455.25/31,556.50 = 31,556.50/x
  3. Step 3: Cross multiply
    14,455.25x = 31,556.50 × 31,556.50
  4. Step 4: Simplify right side
    14,455.25x = 995,812,692.25
  5. Step 5: Solve for x
    x = 995,812,692.25/14,455.25
  6. Step 6: Final answer
    x = 68,889.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.