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Finding the Third Proportional to 7,564.22 and 16,421.91

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Solution

The third proportional to 7,564.22 and 16,421.91 is: 35,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.22 : 16,421.91 = 16,421.91 : x
  2. Step 2: Convert to fraction form
    7,564.22/16,421.91 = 16,421.91/x
  3. Step 3: Cross multiply
    7,564.22x = 16,421.91 × 16,421.91
  4. Step 4: Simplify right side
    7,564.22x = 269,679,004.88
  5. Step 5: Solve for x
    x = 269,679,004.88/7,564.22
  6. Step 6: Final answer
    x = 35,651.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.