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Finding the Third Proportional to 14,625.56 and 34,123.78

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Solution

The third proportional to 14,625.56 and 34,123.78 is: 79,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.56 : 34,123.78 = 34,123.78 : x
  2. Step 2: Convert to fraction form
    14,625.56/34,123.78 = 34,123.78/x
  3. Step 3: Cross multiply
    14,625.56x = 34,123.78 × 34,123.78
  4. Step 4: Simplify right side
    14,625.56x = 1,164,432,446.80
  5. Step 5: Solve for x
    x = 1,164,432,446.80/14,625.56
  6. Step 6: Final answer
    x = 79,616.25

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.