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Finding the Third Proportional to 7,408.25 and 10,482.25

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Solution

The third proportional to 7,408.25 and 10,482.25 is: 14,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.25 : 10,482.25 = 10,482.25 : x
  2. Step 2: Convert to fraction form
    7,408.25/10,482.25 = 10,482.25/x
  3. Step 3: Cross multiply
    7,408.25x = 10,482.25 × 10,482.25
  4. Step 4: Simplify right side
    7,408.25x = 109,877,565.06
  5. Step 5: Solve for x
    x = 109,877,565.06/7,408.25
  6. Step 6: Final answer
    x = 14,831.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.