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Finding the Third Proportional to 14,635.69 and 22,566.09

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Solution

The third proportional to 14,635.69 and 22,566.09 is: 34,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.69 : 22,566.09 = 22,566.09 : x
  2. Step 2: Convert to fraction form
    14,635.69/22,566.09 = 22,566.09/x
  3. Step 3: Cross multiply
    14,635.69x = 22,566.09 × 22,566.09
  4. Step 4: Simplify right side
    14,635.69x = 509,228,587.13
  5. Step 5: Solve for x
    x = 509,228,587.13/14,635.69
  6. Step 6: Final answer
    x = 34,793.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.