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Finding the Third Proportional to 13,948.88 and 19,510.88

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Solution

The third proportional to 13,948.88 and 19,510.88 is: 27,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.88 : 19,510.88 = 19,510.88 : x
  2. Step 2: Convert to fraction form
    13,948.88/19,510.88 = 19,510.88/x
  3. Step 3: Cross multiply
    13,948.88x = 19,510.88 × 19,510.88
  4. Step 4: Simplify right side
    13,948.88x = 380,674,243.27
  5. Step 5: Solve for x
    x = 380,674,243.27/13,948.88
  6. Step 6: Final answer
    x = 27,290.68

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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.