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Finding the Third Proportional to 21,071.25 and 45,317.25

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Solution

The third proportional to 21,071.25 and 45,317.25 is: 97,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.25 : 45,317.25 = 45,317.25 : x
  2. Step 2: Convert to fraction form
    21,071.25/45,317.25 = 45,317.25/x
  3. Step 3: Cross multiply
    21,071.25x = 45,317.25 × 45,317.25
  4. Step 4: Simplify right side
    21,071.25x = 2,053,653,147.56
  5. Step 5: Solve for x
    x = 2,053,653,147.56/21,071.25
  6. Step 6: Final answer
    x = 97,462.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.