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Finding the Third Proportional to 9,539.38 and 14,592.63

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Solution

The third proportional to 9,539.38 and 14,592.63 is: 22,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.38 : 14,592.63 = 14,592.63 : x
  2. Step 2: Convert to fraction form
    9,539.38/14,592.63 = 14,592.63/x
  3. Step 3: Cross multiply
    9,539.38x = 14,592.63 × 14,592.63
  4. Step 4: Simplify right side
    9,539.38x = 212,944,704.39
  5. Step 5: Solve for x
    x = 212,944,704.39/9,539.38
  6. Step 6: Final answer
    x = 22,322.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.