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Finding the Third Proportional to 19,870.88 and 27,851.06

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Solution

The third proportional to 19,870.88 and 27,851.06 is: 39,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.88 : 27,851.06 = 27,851.06 : x
  2. Step 2: Convert to fraction form
    19,870.88/27,851.06 = 27,851.06/x
  3. Step 3: Cross multiply
    19,870.88x = 27,851.06 × 27,851.06
  4. Step 4: Simplify right side
    19,870.88x = 775,681,682.38
  5. Step 5: Solve for x
    x = 775,681,682.38/19,870.88
  6. Step 6: Final answer
    x = 39,036.11

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.