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Finding the Third Proportional to 2,034 and 5,046

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Solution

The third proportional to 2,034 and 5,046 is: 12,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 5,046 = 5,046 : x
  2. Step 2: Convert to fraction form
    2,034/5,046 = 5,046/x
  3. Step 3: Cross multiply
    2,034x = 5,046 × 5,046
  4. Step 4: Simplify right side
    2,034x = 25,462,116
  5. Step 5: Solve for x
    x = 25,462,116/2,034
  6. Step 6: Final answer
    x = 12,518.25

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.