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Finding the Third Proportional to 12,715.50 and 18,343.50

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Solution

The third proportional to 12,715.50 and 18,343.50 is: 26,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.50 : 18,343.50 = 18,343.50 : x
  2. Step 2: Convert to fraction form
    12,715.50/18,343.50 = 18,343.50/x
  3. Step 3: Cross multiply
    12,715.50x = 18,343.50 × 18,343.50
  4. Step 4: Simplify right side
    12,715.50x = 336,483,992.25
  5. Step 5: Solve for x
    x = 336,483,992.25/12,715.50
  6. Step 6: Final answer
    x = 26,462.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.