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Finding the Third Proportional to 14,676.19 and 23,517.84

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Solution

The third proportional to 14,676.19 and 23,517.84 is: 37,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.19 : 23,517.84 = 23,517.84 : x
  2. Step 2: Convert to fraction form
    14,676.19/23,517.84 = 23,517.84/x
  3. Step 3: Cross multiply
    14,676.19x = 23,517.84 × 23,517.84
  4. Step 4: Simplify right side
    14,676.19x = 553,088,974.65
  5. Step 5: Solve for x
    x = 553,088,974.65/14,676.19
  6. Step 6: Final answer
    x = 37,686.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.