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Finding the Third Proportional to 10,659 and 23,433

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Solution

The third proportional to 10,659 and 23,433 is: 51,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659 : 23,433 = 23,433 : x
  2. Step 2: Convert to fraction form
    10,659/23,433 = 23,433/x
  3. Step 3: Cross multiply
    10,659x = 23,433 × 23,433
  4. Step 4: Simplify right side
    10,659x = 549,105,489
  5. Step 5: Solve for x
    x = 549,105,489/10,659
  6. Step 6: Final answer
    x = 51,515.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.