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Finding the Third Proportional to 7,477.25 and 13,492.75

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Solution

The third proportional to 7,477.25 and 13,492.75 is: 24,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.25 : 13,492.75 = 13,492.75 : x
  2. Step 2: Convert to fraction form
    7,477.25/13,492.75 = 13,492.75/x
  3. Step 3: Cross multiply
    7,477.25x = 13,492.75 × 13,492.75
  4. Step 4: Simplify right side
    7,477.25x = 182,054,302.56
  5. Step 5: Solve for x
    x = 182,054,302.56/7,477.25
  6. Step 6: Final answer
    x = 24,347.76

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.