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Finding the Third Proportional to 9,613.69 and 14,615.44

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Solution

The third proportional to 9,613.69 and 14,615.44 is: 22,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.69 : 14,615.44 = 14,615.44 : x
  2. Step 2: Convert to fraction form
    9,613.69/14,615.44 = 14,615.44/x
  3. Step 3: Cross multiply
    9,613.69x = 14,615.44 × 14,615.44
  4. Step 4: Simplify right side
    9,613.69x = 213,611,013.32
  5. Step 5: Solve for x
    x = 213,611,013.32/9,613.69
  6. Step 6: Final answer
    x = 22,219.47

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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.