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Finding the Third Proportional to 5,522.25 and 8,795.63

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Solution

The third proportional to 5,522.25 and 8,795.63 is: 14,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.25 : 8,795.63 = 8,795.63 : x
  2. Step 2: Convert to fraction form
    5,522.25/8,795.63 = 8,795.63/x
  3. Step 3: Cross multiply
    5,522.25x = 8,795.63 × 8,795.63
  4. Step 4: Simplify right side
    5,522.25x = 77,363,019.14
  5. Step 5: Solve for x
    x = 77,363,019.14/5,522.25
  6. Step 6: Final answer
    x = 14,009.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.