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Finding the Third Proportional to 28,456 and 41,948

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Solution

The third proportional to 28,456 and 41,948 is: 61,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,456 : 41,948 = 41,948 : x
  2. Step 2: Convert to fraction form
    28,456/41,948 = 41,948/x
  3. Step 3: Cross multiply
    28,456x = 41,948 × 41,948
  4. Step 4: Simplify right side
    28,456x = 1,759,634,704
  5. Step 5: Solve for x
    x = 1,759,634,704/28,456
  6. Step 6: Final answer
    x = 61,837.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.