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Finding the Third Proportional to 38,173.50 and 88,447.50

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Solution

The third proportional to 38,173.50 and 88,447.50 is: 204,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173.50 : 88,447.50 = 88,447.50 : x
  2. Step 2: Convert to fraction form
    38,173.50/88,447.50 = 88,447.50/x
  3. Step 3: Cross multiply
    38,173.50x = 88,447.50 × 88,447.50
  4. Step 4: Simplify right side
    38,173.50x = 7,822,960,256.25
  5. Step 5: Solve for x
    x = 7,822,960,256.25/38,173.50
  6. Step 6: Final answer
    x = 204,931.70

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.