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Finding the Third Proportional to 4,257 and 9,018.75

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Solution

The third proportional to 4,257 and 9,018.75 is: 19,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257 : 9,018.75 = 9,018.75 : x
  2. Step 2: Convert to fraction form
    4,257/9,018.75 = 9,018.75/x
  3. Step 3: Cross multiply
    4,257x = 9,018.75 × 9,018.75
  4. Step 4: Simplify right side
    4,257x = 81,337,851.56
  5. Step 5: Solve for x
    x = 81,337,851.56/4,257
  6. Step 6: Final answer
    x = 19,106.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.