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Finding the Third Proportional to 9,655.88 and 13,773.38

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Solution

The third proportional to 9,655.88 and 13,773.38 is: 19,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.88 : 13,773.38 = 13,773.38 : x
  2. Step 2: Convert to fraction form
    9,655.88/13,773.38 = 13,773.38/x
  3. Step 3: Cross multiply
    9,655.88x = 13,773.38 × 13,773.38
  4. Step 4: Simplify right side
    9,655.88x = 189,705,858.89
  5. Step 5: Solve for x
    x = 189,705,858.89/9,655.88
  6. Step 6: Final answer
    x = 19,646.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.