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Finding the Third Proportional to 29,994 and 69,436.50

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Solution

The third proportional to 29,994 and 69,436.50 is: 160,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,994 : 69,436.50 = 69,436.50 : x
  2. Step 2: Convert to fraction form
    29,994/69,436.50 = 69,436.50/x
  3. Step 3: Cross multiply
    29,994x = 69,436.50 × 69,436.50
  4. Step 4: Simplify right side
    29,994x = 4,821,427,532.25
  5. Step 5: Solve for x
    x = 4,821,427,532.25/29,994
  6. Step 6: Final answer
    x = 160,746.40

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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.