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Finding the Third Proportional to 7,715.63 and 16,632.75

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Solution

The third proportional to 7,715.63 and 16,632.75 is: 35,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.63 : 16,632.75 = 16,632.75 : x
  2. Step 2: Convert to fraction form
    7,715.63/16,632.75 = 16,632.75/x
  3. Step 3: Cross multiply
    7,715.63x = 16,632.75 × 16,632.75
  4. Step 4: Simplify right side
    7,715.63x = 276,648,372.56
  5. Step 5: Solve for x
    x = 276,648,372.56/7,715.63
  6. Step 6: Final answer
    x = 35,855.60

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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.