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Finding the Third Proportional to 52,275 and 69,556.50

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Solution

The third proportional to 52,275 and 69,556.50 is: 92,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,275 : 69,556.50 = 69,556.50 : x
  2. Step 2: Convert to fraction form
    52,275/69,556.50 = 69,556.50/x
  3. Step 3: Cross multiply
    52,275x = 69,556.50 × 69,556.50
  4. Step 4: Simplify right side
    52,275x = 4,838,106,692.25
  5. Step 5: Solve for x
    x = 4,838,106,692.25/52,275
  6. Step 6: Final answer
    x = 92,551.06

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.