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Finding the Third Proportional to 9,501.75 and 16,877.25

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Solution

The third proportional to 9,501.75 and 16,877.25 is: 29,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.75 : 16,877.25 = 16,877.25 : x
  2. Step 2: Convert to fraction form
    9,501.75/16,877.25 = 16,877.25/x
  3. Step 3: Cross multiply
    9,501.75x = 16,877.25 × 16,877.25
  4. Step 4: Simplify right side
    9,501.75x = 284,841,567.56
  5. Step 5: Solve for x
    x = 284,841,567.56/9,501.75
  6. Step 6: Final answer
    x = 29,977.80

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.