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Finding the Third Proportional to 9,656.25 and 12,933.38

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Solution

The third proportional to 9,656.25 and 12,933.38 is: 17,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.25 : 12,933.38 = 12,933.38 : x
  2. Step 2: Convert to fraction form
    9,656.25/12,933.38 = 12,933.38/x
  3. Step 3: Cross multiply
    9,656.25x = 12,933.38 × 12,933.38
  4. Step 4: Simplify right side
    9,656.25x = 167,272,188.89
  5. Step 5: Solve for x
    x = 167,272,188.89/9,656.25
  6. Step 6: Final answer
    x = 17,322.69

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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.