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Finding the Third Proportional to 7,186.88 and 15,709.63

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Solution

The third proportional to 7,186.88 and 15,709.63 is: 34,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.88 : 15,709.63 = 15,709.63 : x
  2. Step 2: Convert to fraction form
    7,186.88/15,709.63 = 15,709.63/x
  3. Step 3: Cross multiply
    7,186.88x = 15,709.63 × 15,709.63
  4. Step 4: Simplify right side
    7,186.88x = 246,792,317.64
  5. Step 5: Solve for x
    x = 246,792,317.64/7,186.88
  6. Step 6: Final answer
    x = 34,339.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.