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Finding the Third Proportional to 20,152.13 and 26,896.50

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Solution

The third proportional to 20,152.13 and 26,896.50 is: 35,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.13 : 26,896.50 = 26,896.50 : x
  2. Step 2: Convert to fraction form
    20,152.13/26,896.50 = 26,896.50/x
  3. Step 3: Cross multiply
    20,152.13x = 26,896.50 × 26,896.50
  4. Step 4: Simplify right side
    20,152.13x = 723,421,712.25
  5. Step 5: Solve for x
    x = 723,421,712.25/20,152.13
  6. Step 6: Final answer
    x = 35,898.04

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.