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Finding the Third Proportional to 22,714.17 and 46,561.71

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Solution

The third proportional to 22,714.17 and 46,561.71 is: 95,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.17 : 46,561.71 = 46,561.71 : x
  2. Step 2: Convert to fraction form
    22,714.17/46,561.71 = 46,561.71/x
  3. Step 3: Cross multiply
    22,714.17x = 46,561.71 × 46,561.71
  4. Step 4: Simplify right side
    22,714.17x = 2,167,992,925.43
  5. Step 5: Solve for x
    x = 2,167,992,925.43/22,714.17
  6. Step 6: Final answer
    x = 95,446.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.