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Finding the Third Proportional to 20,037.38 and 42,808.50

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Solution

The third proportional to 20,037.38 and 42,808.50 is: 91,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.38 : 42,808.50 = 42,808.50 : x
  2. Step 2: Convert to fraction form
    20,037.38/42,808.50 = 42,808.50/x
  3. Step 3: Cross multiply
    20,037.38x = 42,808.50 × 42,808.50
  4. Step 4: Simplify right side
    20,037.38x = 1,832,567,672.25
  5. Step 5: Solve for x
    x = 1,832,567,672.25/20,037.38
  6. Step 6: Final answer
    x = 91,457.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.