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Finding the Third Proportional to 9,129 and 13,703.63

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Solution

The third proportional to 9,129 and 13,703.63 is: 20,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129 : 13,703.63 = 13,703.63 : x
  2. Step 2: Convert to fraction form
    9,129/13,703.63 = 13,703.63/x
  3. Step 3: Cross multiply
    9,129x = 13,703.63 × 13,703.63
  4. Step 4: Simplify right side
    9,129x = 187,789,338.14
  5. Step 5: Solve for x
    x = 187,789,338.14/9,129
  6. Step 6: Final answer
    x = 20,570.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.