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Finding the Third Proportional to 38,094 and 59,215.50

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Solution

The third proportional to 38,094 and 59,215.50 is: 92,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,094 : 59,215.50 = 59,215.50 : x
  2. Step 2: Convert to fraction form
    38,094/59,215.50 = 59,215.50/x
  3. Step 3: Cross multiply
    38,094x = 59,215.50 × 59,215.50
  4. Step 4: Simplify right side
    38,094x = 3,506,475,440.25
  5. Step 5: Solve for x
    x = 3,506,475,440.25/38,094
  6. Step 6: Final answer
    x = 92,047.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.