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Finding the Third Proportional to 21,123 and 32,953.50

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Solution

The third proportional to 21,123 and 32,953.50 is: 51,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123 : 32,953.50 = 32,953.50 : x
  2. Step 2: Convert to fraction form
    21,123/32,953.50 = 32,953.50/x
  3. Step 3: Cross multiply
    21,123x = 32,953.50 × 32,953.50
  4. Step 4: Simplify right side
    21,123x = 1,085,933,162.25
  5. Step 5: Solve for x
    x = 1,085,933,162.25/21,123
  6. Step 6: Final answer
    x = 51,409.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.