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Finding the Third Proportional to 7,101.42 and 12,031.03

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Solution

The third proportional to 7,101.42 and 12,031.03 is: 20,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.42 : 12,031.03 = 12,031.03 : x
  2. Step 2: Convert to fraction form
    7,101.42/12,031.03 = 12,031.03/x
  3. Step 3: Cross multiply
    7,101.42x = 12,031.03 × 12,031.03
  4. Step 4: Simplify right side
    7,101.42x = 144,745,712.94
  5. Step 5: Solve for x
    x = 144,745,712.94/7,101.42
  6. Step 6: Final answer
    x = 20,382.64

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.