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Finding the Third Proportional to 29,346 and 44,158.50

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Solution

The third proportional to 29,346 and 44,158.50 is: 66,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,346 : 44,158.50 = 44,158.50 : x
  2. Step 2: Convert to fraction form
    29,346/44,158.50 = 44,158.50/x
  3. Step 3: Cross multiply
    29,346x = 44,158.50 × 44,158.50
  4. Step 4: Simplify right side
    29,346x = 1,949,973,122.25
  5. Step 5: Solve for x
    x = 1,949,973,122.25/29,346
  6. Step 6: Final answer
    x = 66,447.66

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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.