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Finding the Third Proportional to 42,594 and 66,682

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Solution

The third proportional to 42,594 and 66,682 is: 104,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,594 : 66,682 = 66,682 : x
  2. Step 2: Convert to fraction form
    42,594/66,682 = 66,682/x
  3. Step 3: Cross multiply
    42,594x = 66,682 × 66,682
  4. Step 4: Simplify right side
    42,594x = 4,446,489,124
  5. Step 5: Solve for x
    x = 4,446,489,124/42,594
  6. Step 6: Final answer
    x = 104,392.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.