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Finding the Third Proportional to 19,851.75 and 30,952.13

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Solution

The third proportional to 19,851.75 and 30,952.13 is: 48,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.75 : 30,952.13 = 30,952.13 : x
  2. Step 2: Convert to fraction form
    19,851.75/30,952.13 = 30,952.13/x
  3. Step 3: Cross multiply
    19,851.75x = 30,952.13 × 30,952.13
  4. Step 4: Simplify right side
    19,851.75x = 958,034,042.02
  5. Step 5: Solve for x
    x = 958,034,042.02/19,851.75
  6. Step 6: Final answer
    x = 48,259.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.