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Finding the Third Proportional to 7,483.50 and 12,692.25

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Solution

The third proportional to 7,483.50 and 12,692.25 is: 21,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.50 : 12,692.25 = 12,692.25 : x
  2. Step 2: Convert to fraction form
    7,483.50/12,692.25 = 12,692.25/x
  3. Step 3: Cross multiply
    7,483.50x = 12,692.25 × 12,692.25
  4. Step 4: Simplify right side
    7,483.50x = 161,093,210.06
  5. Step 5: Solve for x
    x = 161,093,210.06/7,483.50
  6. Step 6: Final answer
    x = 21,526.45

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.