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Finding the Third Proportional to 12,453.75 and 13,699.13

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Solution

The third proportional to 12,453.75 and 13,699.13 is: 15,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.75 : 13,699.13 = 13,699.13 : x
  2. Step 2: Convert to fraction form
    12,453.75/13,699.13 = 13,699.13/x
  3. Step 3: Cross multiply
    12,453.75x = 13,699.13 × 13,699.13
  4. Step 4: Simplify right side
    12,453.75x = 187,666,025.77
  5. Step 5: Solve for x
    x = 187,666,025.77/12,453.75
  6. Step 6: Final answer
    x = 15,069.04

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.