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Finding the Third Proportional to 51,679.69 and 77,518.69

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Solution

The third proportional to 51,679.69 and 77,518.69 is: 116,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,679.69 : 77,518.69 = 77,518.69 : x
  2. Step 2: Convert to fraction form
    51,679.69/77,518.69 = 77,518.69/x
  3. Step 3: Cross multiply
    51,679.69x = 77,518.69 × 77,518.69
  4. Step 4: Simplify right side
    51,679.69x = 6,009,146,911.72
  5. Step 5: Solve for x
    x = 6,009,146,911.72/51,679.69
  6. Step 6: Final answer
    x = 116,276.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.