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Finding the Third Proportional to 7,308.56 and 10,051.31

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Solution

The third proportional to 7,308.56 and 10,051.31 is: 13,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.56 : 10,051.31 = 10,051.31 : x
  2. Step 2: Convert to fraction form
    7,308.56/10,051.31 = 10,051.31/x
  3. Step 3: Cross multiply
    7,308.56x = 10,051.31 × 10,051.31
  4. Step 4: Simplify right side
    7,308.56x = 101,028,882.97
  5. Step 5: Solve for x
    x = 101,028,882.97/7,308.56
  6. Step 6: Final answer
    x = 13,823.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.