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Finding the Third Proportional to 14,573.25 and 17,259.75

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Solution

The third proportional to 14,573.25 and 17,259.75 is: 20,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.25 : 17,259.75 = 17,259.75 : x
  2. Step 2: Convert to fraction form
    14,573.25/17,259.75 = 17,259.75/x
  3. Step 3: Cross multiply
    14,573.25x = 17,259.75 × 17,259.75
  4. Step 4: Simplify right side
    14,573.25x = 297,898,970.06
  5. Step 5: Solve for x
    x = 297,898,970.06/14,573.25
  6. Step 6: Final answer
    x = 20,441.49

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.