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Finding the Third Proportional to 21,644 and 45,020

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Solution

The third proportional to 21,644 and 45,020 is: 93,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644 : 45,020 = 45,020 : x
  2. Step 2: Convert to fraction form
    21,644/45,020 = 45,020/x
  3. Step 3: Cross multiply
    21,644x = 45,020 × 45,020
  4. Step 4: Simplify right side
    21,644x = 2,026,800,400
  5. Step 5: Solve for x
    x = 2,026,800,400/21,644
  6. Step 6: Final answer
    x = 93,642.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.