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Finding the Third Proportional to 7,629 and 16,078.13

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Solution

The third proportional to 7,629 and 16,078.13 is: 33,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629 : 16,078.13 = 16,078.13 : x
  2. Step 2: Convert to fraction form
    7,629/16,078.13 = 16,078.13/x
  3. Step 3: Cross multiply
    7,629x = 16,078.13 × 16,078.13
  4. Step 4: Simplify right side
    7,629x = 258,506,103.52
  5. Step 5: Solve for x
    x = 258,506,103.52/7,629
  6. Step 6: Final answer
    x = 33,884.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.