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Finding the Third Proportional to 14,580.69 and 22,620.31

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Solution

The third proportional to 14,580.69 and 22,620.31 is: 35,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.69 : 22,620.31 = 22,620.31 : x
  2. Step 2: Convert to fraction form
    14,580.69/22,620.31 = 22,620.31/x
  3. Step 3: Cross multiply
    14,580.69x = 22,620.31 × 22,620.31
  4. Step 4: Simplify right side
    14,580.69x = 511,678,537.60
  5. Step 5: Solve for x
    x = 511,678,537.60/14,580.69
  6. Step 6: Final answer
    x = 35,092.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.