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Finding the Third Proportional to 12,083 and 25,618

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Solution

The third proportional to 12,083 and 25,618 is: 54,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083 : 25,618 = 25,618 : x
  2. Step 2: Convert to fraction form
    12,083/25,618 = 25,618/x
  3. Step 3: Cross multiply
    12,083x = 25,618 × 25,618
  4. Step 4: Simplify right side
    12,083x = 656,281,924
  5. Step 5: Solve for x
    x = 656,281,924/12,083
  6. Step 6: Final answer
    x = 54,314.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.