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Finding the Third Proportional to 12,529.69 and 19,424.81

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Solution

The third proportional to 12,529.69 and 19,424.81 is: 30,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.69 : 19,424.81 = 19,424.81 : x
  2. Step 2: Convert to fraction form
    12,529.69/19,424.81 = 19,424.81/x
  3. Step 3: Cross multiply
    12,529.69x = 19,424.81 × 19,424.81
  4. Step 4: Simplify right side
    12,529.69x = 377,323,340.66
  5. Step 5: Solve for x
    x = 377,323,340.66/12,529.69
  6. Step 6: Final answer
    x = 30,114.35

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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.