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Finding the Third Proportional to 38,884.50 and 61,902.38

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Solution

The third proportional to 38,884.50 and 61,902.38 is: 98,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884.50 : 61,902.38 = 61,902.38 : x
  2. Step 2: Convert to fraction form
    38,884.50/61,902.38 = 61,902.38/x
  3. Step 3: Cross multiply
    38,884.50x = 61,902.38 × 61,902.38
  4. Step 4: Simplify right side
    38,884.50x = 3,831,904,030.64
  5. Step 5: Solve for x
    x = 3,831,904,030.64/38,884.50
  6. Step 6: Final answer
    x = 98,545.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.