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Finding the Third Proportional to 14,514.19 and 23,674.78

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Solution

The third proportional to 14,514.19 and 23,674.78 is: 38,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.19 : 23,674.78 = 23,674.78 : x
  2. Step 2: Convert to fraction form
    14,514.19/23,674.78 = 23,674.78/x
  3. Step 3: Cross multiply
    14,514.19x = 23,674.78 × 23,674.78
  4. Step 4: Simplify right side
    14,514.19x = 560,495,267.24
  5. Step 5: Solve for x
    x = 560,495,267.24/14,514.19
  6. Step 6: Final answer
    x = 38,617.06

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.