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Finding the Third Proportional to 10,666.69 and 23,360.91

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Solution

The third proportional to 10,666.69 and 23,360.91 is: 51,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.69 : 23,360.91 = 23,360.91 : x
  2. Step 2: Convert to fraction form
    10,666.69/23,360.91 = 23,360.91/x
  3. Step 3: Cross multiply
    10,666.69x = 23,360.91 × 23,360.91
  4. Step 4: Simplify right side
    10,666.69x = 545,731,940.82
  5. Step 5: Solve for x
    x = 545,731,940.82/10,666.69
  6. Step 6: Final answer
    x = 51,162.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.