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Finding the Third Proportional to 20,457 and 44,133

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Solution

The third proportional to 20,457 and 44,133 is: 95,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457 : 44,133 = 44,133 : x
  2. Step 2: Convert to fraction form
    20,457/44,133 = 44,133/x
  3. Step 3: Cross multiply
    20,457x = 44,133 × 44,133
  4. Step 4: Simplify right side
    20,457x = 1,947,721,689
  5. Step 5: Solve for x
    x = 1,947,721,689/20,457
  6. Step 6: Final answer
    x = 95,210.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.