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Finding the Third Proportional to 17,970.75 and 38,246.63

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Solution

The third proportional to 17,970.75 and 38,246.63 is: 81,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.75 : 38,246.63 = 38,246.63 : x
  2. Step 2: Convert to fraction form
    17,970.75/38,246.63 = 38,246.63/x
  3. Step 3: Cross multiply
    17,970.75x = 38,246.63 × 38,246.63
  4. Step 4: Simplify right side
    17,970.75x = 1,462,804,323.89
  5. Step 5: Solve for x
    x = 1,462,804,323.89/17,970.75
  6. Step 6: Final answer
    x = 81,399.18

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.