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Finding the Third Proportional to 21,532 and 45,044

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Solution

The third proportional to 21,532 and 45,044 is: 94,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532 : 45,044 = 45,044 : x
  2. Step 2: Convert to fraction form
    21,532/45,044 = 45,044/x
  3. Step 3: Cross multiply
    21,532x = 45,044 × 45,044
  4. Step 4: Simplify right side
    21,532x = 2,028,961,936
  5. Step 5: Solve for x
    x = 2,028,961,936/21,532
  6. Step 6: Final answer
    x = 94,230.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.