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Finding the Third Proportional to 14,124.38 and 25,879.50

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Solution

The third proportional to 14,124.38 and 25,879.50 is: 47,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.38 : 25,879.50 = 25,879.50 : x
  2. Step 2: Convert to fraction form
    14,124.38/25,879.50 = 25,879.50/x
  3. Step 3: Cross multiply
    14,124.38x = 25,879.50 × 25,879.50
  4. Step 4: Simplify right side
    14,124.38x = 669,748,520.25
  5. Step 5: Solve for x
    x = 669,748,520.25/14,124.38
  6. Step 6: Final answer
    x = 47,417.92

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.