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Finding the Third Proportional to 12,253.78 and 13,468.78

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Solution

The third proportional to 12,253.78 and 13,468.78 is: 14,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.78 : 13,468.78 = 13,468.78 : x
  2. Step 2: Convert to fraction form
    12,253.78/13,468.78 = 13,468.78/x
  3. Step 3: Cross multiply
    12,253.78x = 13,468.78 × 13,468.78
  4. Step 4: Simplify right side
    12,253.78x = 181,408,068.36
  5. Step 5: Solve for x
    x = 181,408,068.36/12,253.78
  6. Step 6: Final answer
    x = 14,804.25

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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.