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Finding the Third Proportional to 19,851.33 and 42,435.14

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Solution

The third proportional to 19,851.33 and 42,435.14 is: 90,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.33 : 42,435.14 = 42,435.14 : x
  2. Step 2: Convert to fraction form
    19,851.33/42,435.14 = 42,435.14/x
  3. Step 3: Cross multiply
    19,851.33x = 42,435.14 × 42,435.14
  4. Step 4: Simplify right side
    19,851.33x = 1,800,741,159.86
  5. Step 5: Solve for x
    x = 1,800,741,159.86/19,851.33
  6. Step 6: Final answer
    x = 90,711.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.