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Finding the Third Proportional to 46,996 and 68,618

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Solution

The third proportional to 46,996 and 68,618 is: 100,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,996 : 68,618 = 68,618 : x
  2. Step 2: Convert to fraction form
    46,996/68,618 = 68,618/x
  3. Step 3: Cross multiply
    46,996x = 68,618 × 68,618
  4. Step 4: Simplify right side
    46,996x = 4,708,429,924
  5. Step 5: Solve for x
    x = 4,708,429,924/46,996
  6. Step 6: Final answer
    x = 100,187.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.