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Finding the Third Proportional to 34,004 and 52,707

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Solution

The third proportional to 34,004 and 52,707 is: 81,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004 : 52,707 = 52,707 : x
  2. Step 2: Convert to fraction form
    34,004/52,707 = 52,707/x
  3. Step 3: Cross multiply
    34,004x = 52,707 × 52,707
  4. Step 4: Simplify right side
    34,004x = 2,778,027,849
  5. Step 5: Solve for x
    x = 2,778,027,849/34,004
  6. Step 6: Final answer
    x = 81,697.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.