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Finding the Third Proportional to 28,257 and 42,749.25

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Solution

The third proportional to 28,257 and 42,749.25 is: 64,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257 : 42,749.25 = 42,749.25 : x
  2. Step 2: Convert to fraction form
    28,257/42,749.25 = 42,749.25/x
  3. Step 3: Cross multiply
    28,257x = 42,749.25 × 42,749.25
  4. Step 4: Simplify right side
    28,257x = 1,827,498,375.56
  5. Step 5: Solve for x
    x = 1,827,498,375.56/28,257
  6. Step 6: Final answer
    x = 64,674.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.