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Finding the Third Proportional to 21,017 and 45,733

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Solution

The third proportional to 21,017 and 45,733 is: 99,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,017 : 45,733 = 45,733 : x
  2. Step 2: Convert to fraction form
    21,017/45,733 = 45,733/x
  3. Step 3: Cross multiply
    21,017x = 45,733 × 45,733
  4. Step 4: Simplify right side
    21,017x = 2,091,507,289
  5. Step 5: Solve for x
    x = 2,091,507,289/21,017
  6. Step 6: Final answer
    x = 99,515.03

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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.