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Finding the Third Proportional to 30,389.50 and 46,004

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Solution

The third proportional to 30,389.50 and 46,004 is: 69,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,389.50 : 46,004 = 46,004 : x
  2. Step 2: Convert to fraction form
    30,389.50/46,004 = 46,004/x
  3. Step 3: Cross multiply
    30,389.50x = 46,004 × 46,004
  4. Step 4: Simplify right side
    30,389.50x = 2,116,368,016
  5. Step 5: Solve for x
    x = 2,116,368,016/30,389.50
  6. Step 6: Final answer
    x = 69,641.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.