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Finding the Third Proportional to 7,752.94 and 16,713.56

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Solution

The third proportional to 7,752.94 and 16,713.56 is: 36,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.94 : 16,713.56 = 16,713.56 : x
  2. Step 2: Convert to fraction form
    7,752.94/16,713.56 = 16,713.56/x
  3. Step 3: Cross multiply
    7,752.94x = 16,713.56 × 16,713.56
  4. Step 4: Simplify right side
    7,752.94x = 279,343,171.44
  5. Step 5: Solve for x
    x = 279,343,171.44/7,752.94
  6. Step 6: Final answer
    x = 36,030.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.