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Finding the Third Proportional to 13,828.22 and 31,905.14

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Solution

The third proportional to 13,828.22 and 31,905.14 is: 73,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.22 : 31,905.14 = 31,905.14 : x
  2. Step 2: Convert to fraction form
    13,828.22/31,905.14 = 31,905.14/x
  3. Step 3: Cross multiply
    13,828.22x = 31,905.14 × 31,905.14
  4. Step 4: Simplify right side
    13,828.22x = 1,017,937,998.30
  5. Step 5: Solve for x
    x = 1,017,937,998.30/13,828.22
  6. Step 6: Final answer
    x = 73,613.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.