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Finding the Third Proportional to 17,870.60 and 38,683.27

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Solution

The third proportional to 17,870.60 and 38,683.27 is: 83,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.60 : 38,683.27 = 38,683.27 : x
  2. Step 2: Convert to fraction form
    17,870.60/38,683.27 = 38,683.27/x
  3. Step 3: Cross multiply
    17,870.60x = 38,683.27 × 38,683.27
  4. Step 4: Simplify right side
    17,870.60x = 1,496,395,719.39
  5. Step 5: Solve for x
    x = 1,496,395,719.39/17,870.60
  6. Step 6: Final answer
    x = 83,735.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.