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Finding the Third Proportional to 21,123.75 and 39,586.13

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Solution

The third proportional to 21,123.75 and 39,586.13 is: 74,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.75 : 39,586.13 = 39,586.13 : x
  2. Step 2: Convert to fraction form
    21,123.75/39,586.13 = 39,586.13/x
  3. Step 3: Cross multiply
    21,123.75x = 39,586.13 × 39,586.13
  4. Step 4: Simplify right side
    21,123.75x = 1,567,061,292.52
  5. Step 5: Solve for x
    x = 1,567,061,292.52/21,123.75
  6. Step 6: Final answer
    x = 74,184.81

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.