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Finding the Third Proportional to 44,657 and 69,083.50

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Solution

The third proportional to 44,657 and 69,083.50 is: 106,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,657 : 69,083.50 = 69,083.50 : x
  2. Step 2: Convert to fraction form
    44,657/69,083.50 = 69,083.50/x
  3. Step 3: Cross multiply
    44,657x = 69,083.50 × 69,083.50
  4. Step 4: Simplify right side
    44,657x = 4,772,529,972.25
  5. Step 5: Solve for x
    x = 4,772,529,972.25/44,657
  6. Step 6: Final answer
    x = 106,870.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.