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Finding the Third Proportional to 21,538.69 and 31,472.44

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Solution

The third proportional to 21,538.69 and 31,472.44 is: 45,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.69 : 31,472.44 = 31,472.44 : x
  2. Step 2: Convert to fraction form
    21,538.69/31,472.44 = 31,472.44/x
  3. Step 3: Cross multiply
    21,538.69x = 31,472.44 × 31,472.44
  4. Step 4: Simplify right side
    21,538.69x = 990,514,322.19
  5. Step 5: Solve for x
    x = 990,514,322.19/21,538.69
  6. Step 6: Final answer
    x = 45,987.68

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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.