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Finding the Third Proportional to 9,564.75 and 14,772.38

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Solution

The third proportional to 9,564.75 and 14,772.38 is: 22,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.75 : 14,772.38 = 14,772.38 : x
  2. Step 2: Convert to fraction form
    9,564.75/14,772.38 = 14,772.38/x
  3. Step 3: Cross multiply
    9,564.75x = 14,772.38 × 14,772.38
  4. Step 4: Simplify right side
    9,564.75x = 218,223,063.14
  5. Step 5: Solve for x
    x = 218,223,063.14/9,564.75
  6. Step 6: Final answer
    x = 22,815.34

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Why These Related Problems?

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