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Finding the Third Proportional to 38,784.94 and 59,305.50

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Solution

The third proportional to 38,784.94 and 59,305.50 is: 90,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,784.94 : 59,305.50 = 59,305.50 : x
  2. Step 2: Convert to fraction form
    38,784.94/59,305.50 = 59,305.50/x
  3. Step 3: Cross multiply
    38,784.94x = 59,305.50 × 59,305.50
  4. Step 4: Simplify right side
    38,784.94x = 3,517,142,330.25
  5. Step 5: Solve for x
    x = 3,517,142,330.25/38,784.94
  6. Step 6: Final answer
    x = 90,683.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.