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Finding the Third Proportional to 44,394 and 65,916

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Solution

The third proportional to 44,394 and 65,916 is: 97,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,394 : 65,916 = 65,916 : x
  2. Step 2: Convert to fraction form
    44,394/65,916 = 65,916/x
  3. Step 3: Cross multiply
    44,394x = 65,916 × 65,916
  4. Step 4: Simplify right side
    44,394x = 4,344,919,056
  5. Step 5: Solve for x
    x = 4,344,919,056/44,394
  6. Step 6: Final answer
    x = 97,871.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.