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Finding the Third Proportional to 20,457 and 30,037.50

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Solution

The third proportional to 20,457 and 30,037.50 is: 44,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457 : 30,037.50 = 30,037.50 : x
  2. Step 2: Convert to fraction form
    20,457/30,037.50 = 30,037.50/x
  3. Step 3: Cross multiply
    20,457x = 30,037.50 × 30,037.50
  4. Step 4: Simplify right side
    20,457x = 902,251,406.25
  5. Step 5: Solve for x
    x = 902,251,406.25/20,457
  6. Step 6: Final answer
    x = 44,104.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.