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Finding the Third Proportional to 13,326.75 and 14,568.75

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Solution

The third proportional to 13,326.75 and 14,568.75 is: 15,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,326.75 : 14,568.75 = 14,568.75 : x
  2. Step 2: Convert to fraction form
    13,326.75/14,568.75 = 14,568.75/x
  3. Step 3: Cross multiply
    13,326.75x = 14,568.75 × 14,568.75
  4. Step 4: Simplify right side
    13,326.75x = 212,248,476.56
  5. Step 5: Solve for x
    x = 212,248,476.56/13,326.75
  6. Step 6: Final answer
    x = 15,926.50

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.