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Finding the Third Proportional to 9,618.75 and 14,455.97

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Solution

The third proportional to 9,618.75 and 14,455.97 is: 21,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.75 : 14,455.97 = 14,455.97 : x
  2. Step 2: Convert to fraction form
    9,618.75/14,455.97 = 14,455.97/x
  3. Step 3: Cross multiply
    9,618.75x = 14,455.97 × 14,455.97
  4. Step 4: Simplify right side
    9,618.75x = 208,975,032.50
  5. Step 5: Solve for x
    x = 208,975,032.50/9,618.75
  6. Step 6: Final answer
    x = 21,725.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.