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Finding the Third Proportional to 34,319 and 54,804

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Solution

The third proportional to 34,319 and 54,804 is: 87,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319 : 54,804 = 54,804 : x
  2. Step 2: Convert to fraction form
    34,319/54,804 = 54,804/x
  3. Step 3: Cross multiply
    34,319x = 54,804 × 54,804
  4. Step 4: Simplify right side
    34,319x = 3,003,478,416
  5. Step 5: Solve for x
    x = 3,003,478,416/34,319
  6. Step 6: Final answer
    x = 87,516.49

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.