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Finding the Third Proportional to 25,978 and 36,618

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Solution

The third proportional to 25,978 and 36,618 is: 51,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978 : 36,618 = 36,618 : x
  2. Step 2: Convert to fraction form
    25,978/36,618 = 36,618/x
  3. Step 3: Cross multiply
    25,978x = 36,618 × 36,618
  4. Step 4: Simplify right side
    25,978x = 1,340,877,924
  5. Step 5: Solve for x
    x = 1,340,877,924/25,978
  6. Step 6: Final answer
    x = 51,615.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.