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Finding the Third Proportional to 29,618 and 63,978

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Solution

The third proportional to 29,618 and 63,978 is: 138,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,618 : 63,978 = 63,978 : x
  2. Step 2: Convert to fraction form
    29,618/63,978 = 63,978/x
  3. Step 3: Cross multiply
    29,618x = 63,978 × 63,978
  4. Step 4: Simplify right side
    29,618x = 4,093,184,484
  5. Step 5: Solve for x
    x = 4,093,184,484/29,618
  6. Step 6: Final answer
    x = 138,199.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.