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Finding the Third Proportional to 17,660.50 and 38,601.50

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Solution

The third proportional to 17,660.50 and 38,601.50 is: 84,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.50 : 38,601.50 = 38,601.50 : x
  2. Step 2: Convert to fraction form
    17,660.50/38,601.50 = 38,601.50/x
  3. Step 3: Cross multiply
    17,660.50x = 38,601.50 × 38,601.50
  4. Step 4: Simplify right side
    17,660.50x = 1,490,075,802.25
  5. Step 5: Solve for x
    x = 1,490,075,802.25/17,660.50
  6. Step 6: Final answer
    x = 84,373.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.