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Finding the Third Proportional to 9,030.38 and 13,449.94

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Solution

The third proportional to 9,030.38 and 13,449.94 is: 20,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.38 : 13,449.94 = 13,449.94 : x
  2. Step 2: Convert to fraction form
    9,030.38/13,449.94 = 13,449.94/x
  3. Step 3: Cross multiply
    9,030.38x = 13,449.94 × 13,449.94
  4. Step 4: Simplify right side
    9,030.38x = 180,900,818.75
  5. Step 5: Solve for x
    x = 180,900,818.75/9,030.38
  6. Step 6: Final answer
    x = 20,032.48

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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.