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Finding the Third Proportional to 44,616 and 65,246

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Solution

The third proportional to 44,616 and 65,246 is: 95,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,616 : 65,246 = 65,246 : x
  2. Step 2: Convert to fraction form
    44,616/65,246 = 65,246/x
  3. Step 3: Cross multiply
    44,616x = 65,246 × 65,246
  4. Step 4: Simplify right side
    44,616x = 4,257,040,516
  5. Step 5: Solve for x
    x = 4,257,040,516/44,616
  6. Step 6: Final answer
    x = 95,415.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.