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Finding the Third Proportional to 14,743.69 and 23,356.69

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Solution

The third proportional to 14,743.69 and 23,356.69 is: 37,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743.69 : 23,356.69 = 23,356.69 : x
  2. Step 2: Convert to fraction form
    14,743.69/23,356.69 = 23,356.69/x
  3. Step 3: Cross multiply
    14,743.69x = 23,356.69 × 23,356.69
  4. Step 4: Simplify right side
    14,743.69x = 545,534,850.97
  5. Step 5: Solve for x
    x = 545,534,850.97/14,743.69
  6. Step 6: Final answer
    x = 37,001.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.