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Finding the Third Proportional to 44,190 and 65,427

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Solution

The third proportional to 44,190 and 65,427 is: 96,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,190 : 65,427 = 65,427 : x
  2. Step 2: Convert to fraction form
    44,190/65,427 = 65,427/x
  3. Step 3: Cross multiply
    44,190x = 65,427 × 65,427
  4. Step 4: Simplify right side
    44,190x = 4,280,692,329
  5. Step 5: Solve for x
    x = 4,280,692,329/44,190
  6. Step 6: Final answer
    x = 96,870.16

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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.