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Finding the Third Proportional to 28,956 and 43,506

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Solution

The third proportional to 28,956 and 43,506 is: 65,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,956 : 43,506 = 43,506 : x
  2. Step 2: Convert to fraction form
    28,956/43,506 = 43,506/x
  3. Step 3: Cross multiply
    28,956x = 43,506 × 43,506
  4. Step 4: Simplify right side
    28,956x = 1,892,772,036
  5. Step 5: Solve for x
    x = 1,892,772,036/28,956
  6. Step 6: Final answer
    x = 65,367.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.