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Finding the Third Proportional to 13,510.13 and 18,943.88

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Solution

The third proportional to 13,510.13 and 18,943.88 is: 26,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.13 : 18,943.88 = 18,943.88 : x
  2. Step 2: Convert to fraction form
    13,510.13/18,943.88 = 18,943.88/x
  3. Step 3: Cross multiply
    13,510.13x = 18,943.88 × 18,943.88
  4. Step 4: Simplify right side
    13,510.13x = 358,870,400.02
  5. Step 5: Solve for x
    x = 358,870,400.02/13,510.13
  6. Step 6: Final answer
    x = 26,563.07

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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.