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Finding the Third Proportional to 11,971.55 and 17,609.91

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Solution

The third proportional to 11,971.55 and 17,609.91 is: 25,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.55 : 17,609.91 = 17,609.91 : x
  2. Step 2: Convert to fraction form
    11,971.55/17,609.91 = 17,609.91/x
  3. Step 3: Cross multiply
    11,971.55x = 17,609.91 × 17,609.91
  4. Step 4: Simplify right side
    11,971.55x = 310,108,798.13
  5. Step 5: Solve for x
    x = 310,108,798.13/11,971.55
  6. Step 6: Final answer
    x = 25,903.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.