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Finding the Third Proportional to 12,399 and 13,492.50

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Solution

The third proportional to 12,399 and 13,492.50 is: 14,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399 : 13,492.50 = 13,492.50 : x
  2. Step 2: Convert to fraction form
    12,399/13,492.50 = 13,492.50/x
  3. Step 3: Cross multiply
    12,399x = 13,492.50 × 13,492.50
  4. Step 4: Simplify right side
    12,399x = 182,047,556.25
  5. Step 5: Solve for x
    x = 182,047,556.25/12,399
  6. Step 6: Final answer
    x = 14,682.44

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.