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Finding the Third Proportional to 45,886 and 64,618

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Solution

The third proportional to 45,886 and 64,618 is: 90,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,886 : 64,618 = 64,618 : x
  2. Step 2: Convert to fraction form
    45,886/64,618 = 64,618/x
  3. Step 3: Cross multiply
    45,886x = 64,618 × 64,618
  4. Step 4: Simplify right side
    45,886x = 4,175,485,924
  5. Step 5: Solve for x
    x = 4,175,485,924/45,886
  6. Step 6: Final answer
    x = 90,996.95

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