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Finding the Third Proportional to 20,888 and 45,457

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Solution

The third proportional to 20,888 and 45,457 is: 98,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888 : 45,457 = 45,457 : x
  2. Step 2: Convert to fraction form
    20,888/45,457 = 45,457/x
  3. Step 3: Cross multiply
    20,888x = 45,457 × 45,457
  4. Step 4: Simplify right side
    20,888x = 2,066,338,849
  5. Step 5: Solve for x
    x = 2,066,338,849/20,888
  6. Step 6: Final answer
    x = 98,924.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.