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Finding the Third Proportional to 38,970 and 60,736.50

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Solution

The third proportional to 38,970 and 60,736.50 is: 94,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970 : 60,736.50 = 60,736.50 : x
  2. Step 2: Convert to fraction form
    38,970/60,736.50 = 60,736.50/x
  3. Step 3: Cross multiply
    38,970x = 60,736.50 × 60,736.50
  4. Step 4: Simplify right side
    38,970x = 3,688,922,432.25
  5. Step 5: Solve for x
    x = 3,688,922,432.25/38,970
  6. Step 6: Final answer
    x = 94,660.57

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.