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Finding the Third Proportional to 9,548.86 and 21,001.22

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Solution

The third proportional to 9,548.86 and 21,001.22 is: 46,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.86 : 21,001.22 = 21,001.22 : x
  2. Step 2: Convert to fraction form
    9,548.86/21,001.22 = 21,001.22/x
  3. Step 3: Cross multiply
    9,548.86x = 21,001.22 × 21,001.22
  4. Step 4: Simplify right side
    9,548.86x = 441,051,188.99
  5. Step 5: Solve for x
    x = 441,051,188.99/9,548.86
  6. Step 6: Final answer
    x = 46,188.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.