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Finding the Third Proportional to 12,390.94 and 17,663.81

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Solution

The third proportional to 12,390.94 and 17,663.81 is: 25,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,390.94 : 17,663.81 = 17,663.81 : x
  2. Step 2: Convert to fraction form
    12,390.94/17,663.81 = 17,663.81/x
  3. Step 3: Cross multiply
    12,390.94x = 17,663.81 × 17,663.81
  4. Step 4: Simplify right side
    12,390.94x = 312,010,272.04
  5. Step 5: Solve for x
    x = 312,010,272.04/12,390.94
  6. Step 6: Final answer
    x = 25,180.52

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.