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Finding the Third Proportional to 3,053 and 4,212

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Solution

The third proportional to 3,053 and 4,212 is: 5,810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053 : 4,212 = 4,212 : x
  2. Step 2: Convert to fraction form
    3,053/4,212 = 4,212/x
  3. Step 3: Cross multiply
    3,053x = 4,212 × 4,212
  4. Step 4: Simplify right side
    3,053x = 17,740,944
  5. Step 5: Solve for x
    x = 17,740,944/3,053
  6. Step 6: Final answer
    x = 5,810.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.