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Finding the Third Proportional to 12,677.55 and 19,707.47

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Solution

The third proportional to 12,677.55 and 19,707.47 is: 30,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.55 : 19,707.47 = 19,707.47 : x
  2. Step 2: Convert to fraction form
    12,677.55/19,707.47 = 19,707.47/x
  3. Step 3: Cross multiply
    12,677.55x = 19,707.47 × 19,707.47
  4. Step 4: Simplify right side
    12,677.55x = 388,384,324.53
  5. Step 5: Solve for x
    x = 388,384,324.53/12,677.55
  6. Step 6: Final answer
    x = 30,635.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.