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Finding the Third Proportional to 5,703.75 and 12,492.56

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Solution

The third proportional to 5,703.75 and 12,492.56 is: 27,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.75 : 12,492.56 = 12,492.56 : x
  2. Step 2: Convert to fraction form
    5,703.75/12,492.56 = 12,492.56/x
  3. Step 3: Cross multiply
    5,703.75x = 12,492.56 × 12,492.56
  4. Step 4: Simplify right side
    5,703.75x = 156,064,117.82
  5. Step 5: Solve for x
    x = 156,064,117.82/5,703.75
  6. Step 6: Final answer
    x = 27,361.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.