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Finding the Third Proportional to 19,506.94 and 42,123.38

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Solution

The third proportional to 19,506.94 and 42,123.38 is: 90,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.94 : 42,123.38 = 42,123.38 : x
  2. Step 2: Convert to fraction form
    19,506.94/42,123.38 = 42,123.38/x
  3. Step 3: Cross multiply
    19,506.94x = 42,123.38 × 42,123.38
  4. Step 4: Simplify right side
    19,506.94x = 1,774,378,721.39
  5. Step 5: Solve for x
    x = 1,774,378,721.39/19,506.94
  6. Step 6: Final answer
    x = 90,961.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.