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Finding the Third Proportional to 21,499.38 and 50,588.50

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Solution

The third proportional to 21,499.38 and 50,588.50 is: 119,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.38 : 50,588.50 = 50,588.50 : x
  2. Step 2: Convert to fraction form
    21,499.38/50,588.50 = 50,588.50/x
  3. Step 3: Cross multiply
    21,499.38x = 50,588.50 × 50,588.50
  4. Step 4: Simplify right side
    21,499.38x = 2,559,196,332.25
  5. Step 5: Solve for x
    x = 2,559,196,332.25/21,499.38
  6. Step 6: Final answer
    x = 119,035.85

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.