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Finding the Third Proportional to 12,390.38 and 19,950.19

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Solution

The third proportional to 12,390.38 and 19,950.19 is: 32,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,390.38 : 19,950.19 = 19,950.19 : x
  2. Step 2: Convert to fraction form
    12,390.38/19,950.19 = 19,950.19/x
  3. Step 3: Cross multiply
    12,390.38x = 19,950.19 × 19,950.19
  4. Step 4: Simplify right side
    12,390.38x = 398,009,981.29
  5. Step 5: Solve for x
    x = 398,009,981.29/12,390.38
  6. Step 6: Final answer
    x = 32,122.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.