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Finding the Third Proportional to 12,442.50 and 16,894.50

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Solution

The third proportional to 12,442.50 and 16,894.50 is: 22,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.50 : 16,894.50 = 16,894.50 : x
  2. Step 2: Convert to fraction form
    12,442.50/16,894.50 = 16,894.50/x
  3. Step 3: Cross multiply
    12,442.50x = 16,894.50 × 16,894.50
  4. Step 4: Simplify right side
    12,442.50x = 285,424,130.25
  5. Step 5: Solve for x
    x = 285,424,130.25/12,442.50
  6. Step 6: Final answer
    x = 22,939.45

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.