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Finding the Third Proportional to 7,186.63 and 15,709.13

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Solution

The third proportional to 7,186.63 and 15,709.13 is: 34,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.63 : 15,709.13 = 15,709.13 : x
  2. Step 2: Convert to fraction form
    7,186.63/15,709.13 = 15,709.13/x
  3. Step 3: Cross multiply
    7,186.63x = 15,709.13 × 15,709.13
  4. Step 4: Simplify right side
    7,186.63x = 246,776,608.27
  5. Step 5: Solve for x
    x = 246,776,608.27/7,186.63
  6. Step 6: Final answer
    x = 34,338.32

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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.