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Finding the Third Proportional to 19,586.63 and 29,838.75

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Solution

The third proportional to 19,586.63 and 29,838.75 is: 45,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.63 : 29,838.75 = 29,838.75 : x
  2. Step 2: Convert to fraction form
    19,586.63/29,838.75 = 29,838.75/x
  3. Step 3: Cross multiply
    19,586.63x = 29,838.75 × 29,838.75
  4. Step 4: Simplify right side
    19,586.63x = 890,351,001.56
  5. Step 5: Solve for x
    x = 890,351,001.56/19,586.63
  6. Step 6: Final answer
    x = 45,457.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.