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Finding the Third Proportional to 14,580.56 and 21,866.63

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Solution

The third proportional to 14,580.56 and 21,866.63 is: 32,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.56 : 21,866.63 = 21,866.63 : x
  2. Step 2: Convert to fraction form
    14,580.56/21,866.63 = 21,866.63/x
  3. Step 3: Cross multiply
    14,580.56x = 21,866.63 × 21,866.63
  4. Step 4: Simplify right side
    14,580.56x = 478,149,288.89
  5. Step 5: Solve for x
    x = 478,149,288.89/14,580.56
  6. Step 6: Final answer
    x = 32,793.61

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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.