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Finding the Third Proportional to 21,575.25 and 45,945

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Solution

The third proportional to 21,575.25 and 45,945 is: 97,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.25 : 45,945 = 45,945 : x
  2. Step 2: Convert to fraction form
    21,575.25/45,945 = 45,945/x
  3. Step 3: Cross multiply
    21,575.25x = 45,945 × 45,945
  4. Step 4: Simplify right side
    21,575.25x = 2,110,943,025
  5. Step 5: Solve for x
    x = 2,110,943,025/21,575.25
  6. Step 6: Final answer
    x = 97,840.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.