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Finding the Third Proportional to 6,409.13 and 15,271.03

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Solution

The third proportional to 6,409.13 and 15,271.03 is: 36,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.13 : 15,271.03 = 15,271.03 : x
  2. Step 2: Convert to fraction form
    6,409.13/15,271.03 = 15,271.03/x
  3. Step 3: Cross multiply
    6,409.13x = 15,271.03 × 15,271.03
  4. Step 4: Simplify right side
    6,409.13x = 233,204,395.44
  5. Step 5: Solve for x
    x = 233,204,395.44/6,409.13
  6. Step 6: Final answer
    x = 36,386.31

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.