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Finding the Third Proportional to 34,723 and 52,570

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Solution

The third proportional to 34,723 and 52,570 is: 79,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,723 : 52,570 = 52,570 : x
  2. Step 2: Convert to fraction form
    34,723/52,570 = 52,570/x
  3. Step 3: Cross multiply
    34,723x = 52,570 × 52,570
  4. Step 4: Simplify right side
    34,723x = 2,763,604,900
  5. Step 5: Solve for x
    x = 2,763,604,900/34,723
  6. Step 6: Final answer
    x = 79,590.04

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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.