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Finding the Third Proportional to 38,644.50 and 61,473.38

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Solution

The third proportional to 38,644.50 and 61,473.38 is: 97,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.50 : 61,473.38 = 61,473.38 : x
  2. Step 2: Convert to fraction form
    38,644.50/61,473.38 = 61,473.38/x
  3. Step 3: Cross multiply
    38,644.50x = 61,473.38 × 61,473.38
  4. Step 4: Simplify right side
    38,644.50x = 3,778,975,833.89
  5. Step 5: Solve for x
    x = 3,778,975,833.89/38,644.50
  6. Step 6: Final answer
    x = 97,788.19

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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.