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Finding the Third Proportional to 7,958.63 and 15,715.88

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Solution

The third proportional to 7,958.63 and 15,715.88 is: 31,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.63 : 15,715.88 = 15,715.88 : x
  2. Step 2: Convert to fraction form
    7,958.63/15,715.88 = 15,715.88/x
  3. Step 3: Cross multiply
    7,958.63x = 15,715.88 × 15,715.88
  4. Step 4: Simplify right side
    7,958.63x = 246,988,727.02
  5. Step 5: Solve for x
    x = 246,988,727.02/7,958.63
  6. Step 6: Final answer
    x = 31,034.10

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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.