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Finding the Third Proportional to 44,740 and 97,471

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Solution

The third proportional to 44,740 and 97,471 is: 212,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,740 : 97,471 = 97,471 : x
  2. Step 2: Convert to fraction form
    44,740/97,471 = 97,471/x
  3. Step 3: Cross multiply
    44,740x = 97,471 × 97,471
  4. Step 4: Simplify right side
    44,740x = 9,500,595,841
  5. Step 5: Solve for x
    x = 9,500,595,841/44,740
  6. Step 6: Final answer
    x = 212,351.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.