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Finding the Third Proportional to 13,433 and 23,317.50

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Solution

The third proportional to 13,433 and 23,317.50 is: 40,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433 : 23,317.50 = 23,317.50 : x
  2. Step 2: Convert to fraction form
    13,433/23,317.50 = 23,317.50/x
  3. Step 3: Cross multiply
    13,433x = 23,317.50 × 23,317.50
  4. Step 4: Simplify right side
    13,433x = 543,705,806.25
  5. Step 5: Solve for x
    x = 543,705,806.25/13,433
  6. Step 6: Final answer
    x = 40,475.38

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.