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Finding the Third Proportional to 9,506.25 and 14,630.63

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Solution

The third proportional to 9,506.25 and 14,630.63 is: 22,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.25 : 14,630.63 = 14,630.63 : x
  2. Step 2: Convert to fraction form
    9,506.25/14,630.63 = 14,630.63/x
  3. Step 3: Cross multiply
    9,506.25x = 14,630.63 × 14,630.63
  4. Step 4: Simplify right side
    9,506.25x = 214,055,187.89
  5. Step 5: Solve for x
    x = 214,055,187.89/9,506.25
  6. Step 6: Final answer
    x = 22,517.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.