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Finding the Third Proportional to 5,971.22 and 13,035.94

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Solution

The third proportional to 5,971.22 and 13,035.94 is: 28,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.22 : 13,035.94 = 13,035.94 : x
  2. Step 2: Convert to fraction form
    5,971.22/13,035.94 = 13,035.94/x
  3. Step 3: Cross multiply
    5,971.22x = 13,035.94 × 13,035.94
  4. Step 4: Simplify right side
    5,971.22x = 169,935,666.50
  5. Step 5: Solve for x
    x = 169,935,666.50/5,971.22
  6. Step 6: Final answer
    x = 28,459.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.