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Finding the Third Proportional to 20,547 and 45,873

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Solution

The third proportional to 20,547 and 45,873 is: 102,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547 : 45,873 = 45,873 : x
  2. Step 2: Convert to fraction form
    20,547/45,873 = 45,873/x
  3. Step 3: Cross multiply
    20,547x = 45,873 × 45,873
  4. Step 4: Simplify right side
    20,547x = 2,104,332,129
  5. Step 5: Solve for x
    x = 2,104,332,129/20,547
  6. Step 6: Final answer
    x = 102,415.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.