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Finding the Third Proportional to 11,576.67 and 16,590.45

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Solution

The third proportional to 11,576.67 and 16,590.45 is: 23,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.67 : 16,590.45 = 16,590.45 : x
  2. Step 2: Convert to fraction form
    11,576.67/16,590.45 = 16,590.45/x
  3. Step 3: Cross multiply
    11,576.67x = 16,590.45 × 16,590.45
  4. Step 4: Simplify right side
    11,576.67x = 275,242,875.67
  5. Step 5: Solve for x
    x = 275,242,875.67/11,576.67
  6. Step 6: Final answer
    x = 23,775.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.