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Finding the Third Proportional to 19,374.19 and 29,944.69

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Solution

The third proportional to 19,374.19 and 29,944.69 is: 46,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,374.19 : 29,944.69 = 29,944.69 : x
  2. Step 2: Convert to fraction form
    19,374.19/29,944.69 = 29,944.69/x
  3. Step 3: Cross multiply
    19,374.19x = 29,944.69 × 29,944.69
  4. Step 4: Simplify right side
    19,374.19x = 896,684,309.47
  5. Step 5: Solve for x
    x = 896,684,309.47/19,374.19
  6. Step 6: Final answer
    x = 46,282.42

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