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Finding the Third Proportional to 30,001 and 69,454.50

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Solution

The third proportional to 30,001 and 69,454.50 is: 160,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,001 : 69,454.50 = 69,454.50 : x
  2. Step 2: Convert to fraction form
    30,001/69,454.50 = 69,454.50/x
  3. Step 3: Cross multiply
    30,001x = 69,454.50 × 69,454.50
  4. Step 4: Simplify right side
    30,001x = 4,823,927,570.25
  5. Step 5: Solve for x
    x = 4,823,927,570.25/30,001
  6. Step 6: Final answer
    x = 160,792.23

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.