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Finding the Third Proportional to 38,113.88 and 83,612.25

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Solution

The third proportional to 38,113.88 and 83,612.25 is: 183,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,113.88 : 83,612.25 = 83,612.25 : x
  2. Step 2: Convert to fraction form
    38,113.88/83,612.25 = 83,612.25/x
  3. Step 3: Cross multiply
    38,113.88x = 83,612.25 × 83,612.25
  4. Step 4: Simplify right side
    38,113.88x = 6,991,008,350.06
  5. Step 5: Solve for x
    x = 6,991,008,350.06/38,113.88
  6. Step 6: Final answer
    x = 183,424.23

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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.