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Finding the Third Proportional to 14,338.97 and 21,085.31

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Solution

The third proportional to 14,338.97 and 21,085.31 is: 31,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.97 : 21,085.31 = 21,085.31 : x
  2. Step 2: Convert to fraction form
    14,338.97/21,085.31 = 21,085.31/x
  3. Step 3: Cross multiply
    14,338.97x = 21,085.31 × 21,085.31
  4. Step 4: Simplify right side
    14,338.97x = 444,590,403.22
  5. Step 5: Solve for x
    x = 444,590,403.22/14,338.97
  6. Step 6: Final answer
    x = 31,005.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.