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Finding the Third Proportional to 39,004.50 and 92,043

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Solution

The third proportional to 39,004.50 and 92,043 is: 217,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,004.50 : 92,043 = 92,043 : x
  2. Step 2: Convert to fraction form
    39,004.50/92,043 = 92,043/x
  3. Step 3: Cross multiply
    39,004.50x = 92,043 × 92,043
  4. Step 4: Simplify right side
    39,004.50x = 8,471,913,849
  5. Step 5: Solve for x
    x = 8,471,913,849/39,004.50
  6. Step 6: Final answer
    x = 217,203.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.