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Finding the Third Proportional to 29,985.82 and 45,773.23

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Solution

The third proportional to 29,985.82 and 45,773.23 is: 69,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985.82 : 45,773.23 = 45,773.23 : x
  2. Step 2: Convert to fraction form
    29,985.82/45,773.23 = 45,773.23/x
  3. Step 3: Cross multiply
    29,985.82x = 45,773.23 × 45,773.23
  4. Step 4: Simplify right side
    29,985.82x = 2,095,188,269.94
  5. Step 5: Solve for x
    x = 2,095,188,269.94/29,985.82
  6. Step 6: Final answer
    x = 69,872.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.