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Finding the Third Proportional to 38,892.50 and 61,840.50

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Solution

The third proportional to 38,892.50 and 61,840.50 is: 98,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,892.50 : 61,840.50 = 61,840.50 : x
  2. Step 2: Convert to fraction form
    38,892.50/61,840.50 = 61,840.50/x
  3. Step 3: Cross multiply
    38,892.50x = 61,840.50 × 61,840.50
  4. Step 4: Simplify right side
    38,892.50x = 3,824,247,440.25
  5. Step 5: Solve for x
    x = 3,824,247,440.25/38,892.50
  6. Step 6: Final answer
    x = 98,328.66

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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.