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Finding the Third Proportional to 25,559 and 55,618

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Solution

The third proportional to 25,559 and 55,618 is: 121,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,559 : 55,618 = 55,618 : x
  2. Step 2: Convert to fraction form
    25,559/55,618 = 55,618/x
  3. Step 3: Cross multiply
    25,559x = 55,618 × 55,618
  4. Step 4: Simplify right side
    25,559x = 3,093,361,924
  5. Step 5: Solve for x
    x = 3,093,361,924/25,559
  6. Step 6: Final answer
    x = 121,028.28

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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.