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Finding the Third Proportional to 3,454 and 4,618

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Solution

The third proportional to 3,454 and 4,618 is: 6,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454 : 4,618 = 4,618 : x
  2. Step 2: Convert to fraction form
    3,454/4,618 = 4,618/x
  3. Step 3: Cross multiply
    3,454x = 4,618 × 4,618
  4. Step 4: Simplify right side
    3,454x = 21,325,924
  5. Step 5: Solve for x
    x = 21,325,924/3,454
  6. Step 6: Final answer
    x = 6,174.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.