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Finding the Third Proportional to 13,006.13 and 30,692.25

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Solution

The third proportional to 13,006.13 and 30,692.25 is: 72,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.13 : 30,692.25 = 30,692.25 : x
  2. Step 2: Convert to fraction form
    13,006.13/30,692.25 = 30,692.25/x
  3. Step 3: Cross multiply
    13,006.13x = 30,692.25 × 30,692.25
  4. Step 4: Simplify right side
    13,006.13x = 942,014,210.06
  5. Step 5: Solve for x
    x = 942,014,210.06/13,006.13
  6. Step 6: Final answer
    x = 72,428.51

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.