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Finding the Third Proportional to 45,014.25 and 97,662

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Solution

The third proportional to 45,014.25 and 97,662 is: 211,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,014.25 : 97,662 = 97,662 : x
  2. Step 2: Convert to fraction form
    45,014.25/97,662 = 97,662/x
  3. Step 3: Cross multiply
    45,014.25x = 97,662 × 97,662
  4. Step 4: Simplify right side
    45,014.25x = 9,537,866,244
  5. Step 5: Solve for x
    x = 9,537,866,244/45,014.25
  6. Step 6: Final answer
    x = 211,885.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.