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Finding the Third Proportional to 9,677.53 and 13,627.97

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Solution

The third proportional to 9,677.53 and 13,627.97 is: 19,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.53 : 13,627.97 = 13,627.97 : x
  2. Step 2: Convert to fraction form
    9,677.53/13,627.97 = 13,627.97/x
  3. Step 3: Cross multiply
    9,677.53x = 13,627.97 × 13,627.97
  4. Step 4: Simplify right side
    9,677.53x = 185,721,532.25
  5. Step 5: Solve for x
    x = 185,721,532.25/9,677.53
  6. Step 6: Final answer
    x = 19,191.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.