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Finding the Third Proportional to 19,851.75 and 42,395.06

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Solution

The third proportional to 19,851.75 and 42,395.06 is: 90,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.75 : 42,395.06 = 42,395.06 : x
  2. Step 2: Convert to fraction form
    19,851.75/42,395.06 = 42,395.06/x
  3. Step 3: Cross multiply
    19,851.75x = 42,395.06 × 42,395.06
  4. Step 4: Simplify right side
    19,851.75x = 1,797,341,324.38
  5. Step 5: Solve for x
    x = 1,797,341,324.38/19,851.75
  6. Step 6: Final answer
    x = 90,538.18

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