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Finding the Third Proportional to 14,881.50 and 19,851.75

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Solution

The third proportional to 14,881.50 and 19,851.75 is: 26,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.50 : 19,851.75 = 19,851.75 : x
  2. Step 2: Convert to fraction form
    14,881.50/19,851.75 = 19,851.75/x
  3. Step 3: Cross multiply
    14,881.50x = 19,851.75 × 19,851.75
  4. Step 4: Simplify right side
    14,881.50x = 394,091,978.06
  5. Step 5: Solve for x
    x = 394,091,978.06/14,881.50
  6. Step 6: Final answer
    x = 26,482.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.