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Finding the Third Proportional to 9,462.94 and 14,630.91

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Solution

The third proportional to 9,462.94 and 14,630.91 is: 22,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.94 : 14,630.91 = 14,630.91 : x
  2. Step 2: Convert to fraction form
    9,462.94/14,630.91 = 14,630.91/x
  3. Step 3: Cross multiply
    9,462.94x = 14,630.91 × 14,630.91
  4. Step 4: Simplify right side
    9,462.94x = 214,063,417.70
  5. Step 5: Solve for x
    x = 214,063,417.70/9,462.94
  6. Step 6: Final answer
    x = 22,621.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.