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Finding the Third Proportional to 7,952.63 and 15,676.88

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Solution

The third proportional to 7,952.63 and 15,676.88 is: 30,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.63 : 15,676.88 = 15,676.88 : x
  2. Step 2: Convert to fraction form
    7,952.63/15,676.88 = 15,676.88/x
  3. Step 3: Cross multiply
    7,952.63x = 15,676.88 × 15,676.88
  4. Step 4: Simplify right side
    7,952.63x = 245,764,409.77
  5. Step 5: Solve for x
    x = 245,764,409.77/7,952.63
  6. Step 6: Final answer
    x = 30,903.56

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.