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Finding the Third Proportional to 30,059.86 and 51,314.77

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Solution

The third proportional to 30,059.86 and 51,314.77 is: 87,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,059.86 : 51,314.77 = 51,314.77 : x
  2. Step 2: Convert to fraction form
    30,059.86/51,314.77 = 51,314.77/x
  3. Step 3: Cross multiply
    30,059.86x = 51,314.77 × 51,314.77
  4. Step 4: Simplify right side
    30,059.86x = 2,633,205,171.15
  5. Step 5: Solve for x
    x = 2,633,205,171.15/30,059.86
  6. Step 6: Final answer
    x = 87,598.72

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.