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Finding the Third Proportional to 4,032.91 and 8,714.46

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Solution

The third proportional to 4,032.91 and 8,714.46 is: 18,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.91 : 8,714.46 = 8,714.46 : x
  2. Step 2: Convert to fraction form
    4,032.91/8,714.46 = 8,714.46/x
  3. Step 3: Cross multiply
    4,032.91x = 8,714.46 × 8,714.46
  4. Step 4: Simplify right side
    4,032.91x = 75,941,829.43
  5. Step 5: Solve for x
    x = 75,941,829.43/4,032.91
  6. Step 6: Final answer
    x = 18,830.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.