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Finding the Third Proportional to 9,714 and 21,157.88

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Solution

The third proportional to 9,714 and 21,157.88 is: 46,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714 : 21,157.88 = 21,157.88 : x
  2. Step 2: Convert to fraction form
    9,714/21,157.88 = 21,157.88/x
  3. Step 3: Cross multiply
    9,714x = 21,157.88 × 21,157.88
  4. Step 4: Simplify right side
    9,714x = 447,655,674.52
  5. Step 5: Solve for x
    x = 447,655,674.52/9,714
  6. Step 6: Final answer
    x = 46,083.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.