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Finding the Third Proportional to 7,600.88 and 16,325.63

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Solution

The third proportional to 7,600.88 and 16,325.63 is: 35,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.88 : 16,325.63 = 16,325.63 : x
  2. Step 2: Convert to fraction form
    7,600.88/16,325.63 = 16,325.63/x
  3. Step 3: Cross multiply
    7,600.88x = 16,325.63 × 16,325.63
  4. Step 4: Simplify right side
    7,600.88x = 266,526,031.64
  5. Step 5: Solve for x
    x = 266,526,031.64/7,600.88
  6. Step 6: Final answer
    x = 35,065.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.