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Finding the Third Proportional to 7,165.50 and 13,602

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Solution

The third proportional to 7,165.50 and 13,602 is: 25,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.50 : 13,602 = 13,602 : x
  2. Step 2: Convert to fraction form
    7,165.50/13,602 = 13,602/x
  3. Step 3: Cross multiply
    7,165.50x = 13,602 × 13,602
  4. Step 4: Simplify right side
    7,165.50x = 185,014,404
  5. Step 5: Solve for x
    x = 185,014,404/7,165.50
  6. Step 6: Final answer
    x = 25,820.17

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.