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Finding the Third Proportional to 29,904.19 and 34,278.19

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Solution

The third proportional to 29,904.19 and 34,278.19 is: 39,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904.19 : 34,278.19 = 34,278.19 : x
  2. Step 2: Convert to fraction form
    29,904.19/34,278.19 = 34,278.19/x
  3. Step 3: Cross multiply
    29,904.19x = 34,278.19 × 34,278.19
  4. Step 4: Simplify right side
    29,904.19x = 1,174,994,138.29
  5. Step 5: Solve for x
    x = 1,174,994,138.29/29,904.19
  6. Step 6: Final answer
    x = 39,291.96

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.