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Finding the Third Proportional to 7,031.81 and 15,047.44

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Solution

The third proportional to 7,031.81 and 15,047.44 is: 32,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.81 : 15,047.44 = 15,047.44 : x
  2. Step 2: Convert to fraction form
    7,031.81/15,047.44 = 15,047.44/x
  3. Step 3: Cross multiply
    7,031.81x = 15,047.44 × 15,047.44
  4. Step 4: Simplify right side
    7,031.81x = 226,425,375.32
  5. Step 5: Solve for x
    x = 226,425,375.32/7,031.81
  6. Step 6: Final answer
    x = 32,200.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.