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Finding the Third Proportional to 7,106.63 and 11,237.63

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Solution

The third proportional to 7,106.63 and 11,237.63 is: 17,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.63 : 11,237.63 = 11,237.63 : x
  2. Step 2: Convert to fraction form
    7,106.63/11,237.63 = 11,237.63/x
  3. Step 3: Cross multiply
    7,106.63x = 11,237.63 × 11,237.63
  4. Step 4: Simplify right side
    7,106.63x = 126,284,215.64
  5. Step 5: Solve for x
    x = 126,284,215.64/7,106.63
  6. Step 6: Final answer
    x = 17,769.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.