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Finding the Third Proportional to 14,714.16 and 22,512.94

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Solution

The third proportional to 14,714.16 and 22,512.94 is: 34,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.16 : 22,512.94 = 22,512.94 : x
  2. Step 2: Convert to fraction form
    14,714.16/22,512.94 = 22,512.94/x
  3. Step 3: Cross multiply
    14,714.16x = 22,512.94 × 22,512.94
  4. Step 4: Simplify right side
    14,714.16x = 506,832,354.88
  5. Step 5: Solve for x
    x = 506,832,354.88/14,714.16
  6. Step 6: Final answer
    x = 34,445.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.