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Finding the Third Proportional to 9,528.38 and 14,154.19

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Solution

The third proportional to 9,528.38 and 14,154.19 is: 21,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.38 : 14,154.19 = 14,154.19 : x
  2. Step 2: Convert to fraction form
    9,528.38/14,154.19 = 14,154.19/x
  3. Step 3: Cross multiply
    9,528.38x = 14,154.19 × 14,154.19
  4. Step 4: Simplify right side
    9,528.38x = 200,341,023.79
  5. Step 5: Solve for x
    x = 200,341,023.79/9,528.38
  6. Step 6: Final answer
    x = 21,025.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.