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Finding the Third Proportional to 34,114 and 44,898

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Solution

The third proportional to 34,114 and 44,898 is: 59,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114 : 44,898 = 44,898 : x
  2. Step 2: Convert to fraction form
    34,114/44,898 = 44,898/x
  3. Step 3: Cross multiply
    34,114x = 44,898 × 44,898
  4. Step 4: Simplify right side
    34,114x = 2,015,830,404
  5. Step 5: Solve for x
    x = 2,015,830,404/34,114
  6. Step 6: Final answer
    x = 59,091.00

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.