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Finding the Third Proportional to 38,052.50 and 60,602

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Solution

The third proportional to 38,052.50 and 60,602 is: 96,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052.50 : 60,602 = 60,602 : x
  2. Step 2: Convert to fraction form
    38,052.50/60,602 = 60,602/x
  3. Step 3: Cross multiply
    38,052.50x = 60,602 × 60,602
  4. Step 4: Simplify right side
    38,052.50x = 3,672,602,404
  5. Step 5: Solve for x
    x = 3,672,602,404/38,052.50
  6. Step 6: Final answer
    x = 96,514.09

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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.