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Finding the Third Proportional to 13,705.77 and 29,890.42

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Solution

The third proportional to 13,705.77 and 29,890.42 is: 65,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.77 : 29,890.42 = 29,890.42 : x
  2. Step 2: Convert to fraction form
    13,705.77/29,890.42 = 29,890.42/x
  3. Step 3: Cross multiply
    13,705.77x = 29,890.42 × 29,890.42
  4. Step 4: Simplify right side
    13,705.77x = 893,437,436.62
  5. Step 5: Solve for x
    x = 893,437,436.62/13,705.77
  6. Step 6: Final answer
    x = 65,186.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.