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Finding the Third Proportional to 19,234.13 and 29,116.31

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Solution

The third proportional to 19,234.13 and 29,116.31 is: 44,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234.13 : 29,116.31 = 29,116.31 : x
  2. Step 2: Convert to fraction form
    19,234.13/29,116.31 = 29,116.31/x
  3. Step 3: Cross multiply
    19,234.13x = 29,116.31 × 29,116.31
  4. Step 4: Simplify right side
    19,234.13x = 847,759,653.60
  5. Step 5: Solve for x
    x = 847,759,653.60/19,234.13
  6. Step 6: Final answer
    x = 44,075.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.