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Finding the Third Proportional to 44,682 and 67,602

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Solution

The third proportional to 44,682 and 67,602 is: 102,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,682 : 67,602 = 67,602 : x
  2. Step 2: Convert to fraction form
    44,682/67,602 = 67,602/x
  3. Step 3: Cross multiply
    44,682x = 67,602 × 67,602
  4. Step 4: Simplify right side
    44,682x = 4,570,030,404
  5. Step 5: Solve for x
    x = 4,570,030,404/44,682
  6. Step 6: Final answer
    x = 102,279.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.