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Finding the Third Proportional to 14,819.20 and 26,349.05

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Solution

The third proportional to 14,819.20 and 26,349.05 is: 46,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.20 : 26,349.05 = 26,349.05 : x
  2. Step 2: Convert to fraction form
    14,819.20/26,349.05 = 26,349.05/x
  3. Step 3: Cross multiply
    14,819.20x = 26,349.05 × 26,349.05
  4. Step 4: Simplify right side
    14,819.20x = 694,272,271.22
  5. Step 5: Solve for x
    x = 694,272,271.22/14,819.20
  6. Step 6: Final answer
    x = 46,849.50

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.