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Finding the Third Proportional to 19,649.30 and 42,411.09

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Solution

The third proportional to 19,649.30 and 42,411.09 is: 91,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.30 : 42,411.09 = 42,411.09 : x
  2. Step 2: Convert to fraction form
    19,649.30/42,411.09 = 42,411.09/x
  3. Step 3: Cross multiply
    19,649.30x = 42,411.09 × 42,411.09
  4. Step 4: Simplify right side
    19,649.30x = 1,798,700,873.07
  5. Step 5: Solve for x
    x = 1,798,700,873.07/19,649.30
  6. Step 6: Final answer
    x = 91,540.19

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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.