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Finding the Third Proportional to 9,528.75 and 12,729.94

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Solution

The third proportional to 9,528.75 and 12,729.94 is: 17,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.75 : 12,729.94 = 12,729.94 : x
  2. Step 2: Convert to fraction form
    9,528.75/12,729.94 = 12,729.94/x
  3. Step 3: Cross multiply
    9,528.75x = 12,729.94 × 12,729.94
  4. Step 4: Simplify right side
    9,528.75x = 162,051,308.75
  5. Step 5: Solve for x
    x = 162,051,308.75/9,528.75
  6. Step 6: Final answer
    x = 17,006.57

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.