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Finding the Third Proportional to 19,640.81 and 42,948.56

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Solution

The third proportional to 19,640.81 and 42,948.56 is: 93,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.81 : 42,948.56 = 42,948.56 : x
  2. Step 2: Convert to fraction form
    19,640.81/42,948.56 = 42,948.56/x
  3. Step 3: Cross multiply
    19,640.81x = 42,948.56 × 42,948.56
  4. Step 4: Simplify right side
    19,640.81x = 1,844,579,020.82
  5. Step 5: Solve for x
    x = 1,844,579,020.82/19,640.81
  6. Step 6: Final answer
    x = 93,915.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.