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Finding the Third Proportional to 28,028 and 42,146

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Solution

The third proportional to 28,028 and 42,146 is: 63,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,028 : 42,146 = 42,146 : x
  2. Step 2: Convert to fraction form
    28,028/42,146 = 42,146/x
  3. Step 3: Cross multiply
    28,028x = 42,146 × 42,146
  4. Step 4: Simplify right side
    28,028x = 1,776,285,316
  5. Step 5: Solve for x
    x = 1,776,285,316/28,028
  6. Step 6: Final answer
    x = 63,375.39

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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.