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Finding the Third Proportional to 30,610 and 46,004

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Solution

The third proportional to 30,610 and 46,004 is: 69,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,610 : 46,004 = 46,004 : x
  2. Step 2: Convert to fraction form
    30,610/46,004 = 46,004/x
  3. Step 3: Cross multiply
    30,610x = 46,004 × 46,004
  4. Step 4: Simplify right side
    30,610x = 2,116,368,016
  5. Step 5: Solve for x
    x = 2,116,368,016/30,610
  6. Step 6: Final answer
    x = 69,139.76

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