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Finding the Third Proportional to 9,552.94 and 14,678.72

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Solution

The third proportional to 9,552.94 and 14,678.72 is: 22,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.94 : 14,678.72 = 14,678.72 : x
  2. Step 2: Convert to fraction form
    9,552.94/14,678.72 = 14,678.72/x
  3. Step 3: Cross multiply
    9,552.94x = 14,678.72 × 14,678.72
  4. Step 4: Simplify right side
    9,552.94x = 215,464,784.14
  5. Step 5: Solve for x
    x = 215,464,784.14/9,552.94
  6. Step 6: Final answer
    x = 22,554.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.