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Finding the Third Proportional to 5,707.13 and 13,309.31

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Solution

The third proportional to 5,707.13 and 13,309.31 is: 31,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.13 : 13,309.31 = 13,309.31 : x
  2. Step 2: Convert to fraction form
    5,707.13/13,309.31 = 13,309.31/x
  3. Step 3: Cross multiply
    5,707.13x = 13,309.31 × 13,309.31
  4. Step 4: Simplify right side
    5,707.13x = 177,137,799.22
  5. Step 5: Solve for x
    x = 177,137,799.22/5,707.13
  6. Step 6: Final answer
    x = 31,038.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.