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Finding the Third Proportional to 46,141.50 and 65,982

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Solution

The third proportional to 46,141.50 and 65,982 is: 94,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,141.50 : 65,982 = 65,982 : x
  2. Step 2: Convert to fraction form
    46,141.50/65,982 = 65,982/x
  3. Step 3: Cross multiply
    46,141.50x = 65,982 × 65,982
  4. Step 4: Simplify right side
    46,141.50x = 4,353,624,324
  5. Step 5: Solve for x
    x = 4,353,624,324/46,141.50
  6. Step 6: Final answer
    x = 94,353.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.