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Finding the Third Proportional to 9,636.47 and 14,044.64

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Solution

The third proportional to 9,636.47 and 14,044.64 is: 20,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.47 : 14,044.64 = 14,044.64 : x
  2. Step 2: Convert to fraction form
    9,636.47/14,044.64 = 14,044.64/x
  3. Step 3: Cross multiply
    9,636.47x = 14,044.64 × 14,044.64
  4. Step 4: Simplify right side
    9,636.47x = 197,251,930.29
  5. Step 5: Solve for x
    x = 197,251,930.29/9,636.47
  6. Step 6: Final answer
    x = 20,469.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.