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Finding the Third Proportional to 4,514.63 and 10,252.88

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Solution

The third proportional to 4,514.63 and 10,252.88 is: 23,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.63 : 10,252.88 = 10,252.88 : x
  2. Step 2: Convert to fraction form
    4,514.63/10,252.88 = 10,252.88/x
  3. Step 3: Cross multiply
    4,514.63x = 10,252.88 × 10,252.88
  4. Step 4: Simplify right side
    4,514.63x = 105,121,445.77
  5. Step 5: Solve for x
    x = 105,121,445.77/4,514.63
  6. Step 6: Final answer
    x = 23,284.65

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.