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Finding the Third Proportional to 21,714 and 34,411.13

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Solution

The third proportional to 21,714 and 34,411.13 is: 54,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714 : 34,411.13 = 34,411.13 : x
  2. Step 2: Convert to fraction form
    21,714/34,411.13 = 34,411.13/x
  3. Step 3: Cross multiply
    21,714x = 34,411.13 × 34,411.13
  4. Step 4: Simplify right side
    21,714x = 1,184,125,523.77
  5. Step 5: Solve for x
    x = 1,184,125,523.77/21,714
  6. Step 6: Final answer
    x = 54,532.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.