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Finding the Third Proportional to 10,433 and 16,395.50

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Solution

The third proportional to 10,433 and 16,395.50 is: 25,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433 : 16,395.50 = 16,395.50 : x
  2. Step 2: Convert to fraction form
    10,433/16,395.50 = 16,395.50/x
  3. Step 3: Cross multiply
    10,433x = 16,395.50 × 16,395.50
  4. Step 4: Simplify right side
    10,433x = 268,812,420.25
  5. Step 5: Solve for x
    x = 268,812,420.25/10,433
  6. Step 6: Final answer
    x = 25,765.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.