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Finding the Third Proportional to 9,714.09 and 14,760.84

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Solution

The third proportional to 9,714.09 and 14,760.84 is: 22,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.09 : 14,760.84 = 14,760.84 : x
  2. Step 2: Convert to fraction form
    9,714.09/14,760.84 = 14,760.84/x
  3. Step 3: Cross multiply
    9,714.09x = 14,760.84 × 14,760.84
  4. Step 4: Simplify right side
    9,714.09x = 217,882,508.21
  5. Step 5: Solve for x
    x = 217,882,508.21/9,714.09
  6. Step 6: Final answer
    x = 22,429.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.