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Finding the Third Proportional to 9,031.50 and 12,134.81

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Solution

The third proportional to 9,031.50 and 12,134.81 is: 16,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.50 : 12,134.81 = 12,134.81 : x
  2. Step 2: Convert to fraction form
    9,031.50/12,134.81 = 12,134.81/x
  3. Step 3: Cross multiply
    9,031.50x = 12,134.81 × 12,134.81
  4. Step 4: Simplify right side
    9,031.50x = 147,253,674.41
  5. Step 5: Solve for x
    x = 147,253,674.41/9,031.50
  6. Step 6: Final answer
    x = 16,304.45

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Why These Related Problems?

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