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Finding the Third Proportional to 9,443.25 and 10,931.63

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Solution

The third proportional to 9,443.25 and 10,931.63 is: 12,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.25 : 10,931.63 = 10,931.63 : x
  2. Step 2: Convert to fraction form
    9,443.25/10,931.63 = 10,931.63/x
  3. Step 3: Cross multiply
    9,443.25x = 10,931.63 × 10,931.63
  4. Step 4: Simplify right side
    9,443.25x = 119,500,425.14
  5. Step 5: Solve for x
    x = 119,500,425.14/9,443.25
  6. Step 6: Final answer
    x = 12,654.59

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.