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Finding the Third Proportional to 44,682 and 72,513

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Solution

The third proportional to 44,682 and 72,513 is: 117,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,682 : 72,513 = 72,513 : x
  2. Step 2: Convert to fraction form
    44,682/72,513 = 72,513/x
  3. Step 3: Cross multiply
    44,682x = 72,513 × 72,513
  4. Step 4: Simplify right side
    44,682x = 5,258,135,169
  5. Step 5: Solve for x
    x = 5,258,135,169/44,682
  6. Step 6: Final answer
    x = 117,679.05

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.