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Finding the Third Proportional to 2,046 and 4,458

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Solution

The third proportional to 2,046 and 4,458 is: 9,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 4,458 = 4,458 : x
  2. Step 2: Convert to fraction form
    2,046/4,458 = 4,458/x
  3. Step 3: Cross multiply
    2,046x = 4,458 × 4,458
  4. Step 4: Simplify right side
    2,046x = 19,873,764
  5. Step 5: Solve for x
    x = 19,873,764/2,046
  6. Step 6: Final answer
    x = 9,713.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.