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Finding the Third Proportional to 17,814.30 and 38,483.23

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Solution

The third proportional to 17,814.30 and 38,483.23 is: 83,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.30 : 38,483.23 = 38,483.23 : x
  2. Step 2: Convert to fraction form
    17,814.30/38,483.23 = 38,483.23/x
  3. Step 3: Cross multiply
    17,814.30x = 38,483.23 × 38,483.23
  4. Step 4: Simplify right side
    17,814.30x = 1,480,958,726.66
  5. Step 5: Solve for x
    x = 1,480,958,726.66/17,814.30
  6. Step 6: Final answer
    x = 83,133.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.