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Finding the Third Proportional to 28,956 and 63,454

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Solution

The third proportional to 28,956 and 63,454 is: 139,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,956 : 63,454 = 63,454 : x
  2. Step 2: Convert to fraction form
    28,956/63,454 = 63,454/x
  3. Step 3: Cross multiply
    28,956x = 63,454 × 63,454
  4. Step 4: Simplify right side
    28,956x = 4,026,410,116
  5. Step 5: Solve for x
    x = 4,026,410,116/28,956
  6. Step 6: Final answer
    x = 139,052.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.