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Finding the Third Proportional to 8,907.50 and 13,900.50

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Solution

The third proportional to 8,907.50 and 13,900.50 is: 21,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.50 : 13,900.50 = 13,900.50 : x
  2. Step 2: Convert to fraction form
    8,907.50/13,900.50 = 13,900.50/x
  3. Step 3: Cross multiply
    8,907.50x = 13,900.50 × 13,900.50
  4. Step 4: Simplify right side
    8,907.50x = 193,223,900.25
  5. Step 5: Solve for x
    x = 193,223,900.25/8,907.50
  6. Step 6: Final answer
    x = 21,692.27

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.