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Finding the Third Proportional to 13,408.50 and 14,920.50

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Solution

The third proportional to 13,408.50 and 14,920.50 is: 16,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.50 : 14,920.50 = 14,920.50 : x
  2. Step 2: Convert to fraction form
    13,408.50/14,920.50 = 14,920.50/x
  3. Step 3: Cross multiply
    13,408.50x = 14,920.50 × 14,920.50
  4. Step 4: Simplify right side
    13,408.50x = 222,621,320.25
  5. Step 5: Solve for x
    x = 222,621,320.25/13,408.50
  6. Step 6: Final answer
    x = 16,603.00

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.