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Finding the Third Proportional to 44,664 and 67,574

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Solution

The third proportional to 44,664 and 67,574 is: 102,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,664 : 67,574 = 67,574 : x
  2. Step 2: Convert to fraction form
    44,664/67,574 = 67,574/x
  3. Step 3: Cross multiply
    44,664x = 67,574 × 67,574
  4. Step 4: Simplify right side
    44,664x = 4,566,245,476
  5. Step 5: Solve for x
    x = 4,566,245,476/44,664
  6. Step 6: Final answer
    x = 102,235.48

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