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Finding the Third Proportional to 9,655.88 and 12,897.56

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Solution

The third proportional to 9,655.88 and 12,897.56 is: 17,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.88 : 12,897.56 = 12,897.56 : x
  2. Step 2: Convert to fraction form
    9,655.88/12,897.56 = 12,897.56/x
  3. Step 3: Cross multiply
    9,655.88x = 12,897.56 × 12,897.56
  4. Step 4: Simplify right side
    9,655.88x = 166,347,118.44
  5. Step 5: Solve for x
    x = 166,347,118.44/9,655.88
  6. Step 6: Final answer
    x = 17,227.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.