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Finding the Third Proportional to 34,308 and 54,788

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Solution

The third proportional to 34,308 and 54,788 is: 87,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,308 : 54,788 = 54,788 : x
  2. Step 2: Convert to fraction form
    34,308/54,788 = 54,788/x
  3. Step 3: Cross multiply
    34,308x = 54,788 × 54,788
  4. Step 4: Simplify right side
    34,308x = 3,001,724,944
  5. Step 5: Solve for x
    x = 3,001,724,944/34,308
  6. Step 6: Final answer
    x = 87,493.44

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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.