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Finding the Third Proportional to 37,739 and 56,618

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Solution

The third proportional to 37,739 and 56,618 is: 84,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,739 : 56,618 = 56,618 : x
  2. Step 2: Convert to fraction form
    37,739/56,618 = 56,618/x
  3. Step 3: Cross multiply
    37,739x = 56,618 × 56,618
  4. Step 4: Simplify right side
    37,739x = 3,205,597,924
  5. Step 5: Solve for x
    x = 3,205,597,924/37,739
  6. Step 6: Final answer
    x = 84,941.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.