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Finding the Third Proportional to 2,971 and 4,618

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Solution

The third proportional to 2,971 and 4,618 is: 7,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971 : 4,618 = 4,618 : x
  2. Step 2: Convert to fraction form
    2,971/4,618 = 4,618/x
  3. Step 3: Cross multiply
    2,971x = 4,618 × 4,618
  4. Step 4: Simplify right side
    2,971x = 21,325,924
  5. Step 5: Solve for x
    x = 21,325,924/2,971
  6. Step 6: Final answer
    x = 7,178.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.