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Finding the Third Proportional to 44,625 and 97,025

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Solution

The third proportional to 44,625 and 97,025 is: 210,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,625 : 97,025 = 97,025 : x
  2. Step 2: Convert to fraction form
    44,625/97,025 = 97,025/x
  3. Step 3: Cross multiply
    44,625x = 97,025 × 97,025
  4. Step 4: Simplify right side
    44,625x = 9,413,850,625
  5. Step 5: Solve for x
    x = 9,413,850,625/44,625
  6. Step 6: Final answer
    x = 210,954.64

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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.