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Finding the Third Proportional to 16,409.25 and 39,686.63

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Solution

The third proportional to 16,409.25 and 39,686.63 is: 95,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.25 : 39,686.63 = 39,686.63 : x
  2. Step 2: Convert to fraction form
    16,409.25/39,686.63 = 39,686.63/x
  3. Step 3: Cross multiply
    16,409.25x = 39,686.63 × 39,686.63
  4. Step 4: Simplify right side
    16,409.25x = 1,575,028,203.89
  5. Step 5: Solve for x
    x = 1,575,028,203.89/16,409.25
  6. Step 6: Final answer
    x = 95,984.17

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.