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Finding the Third Proportional to 45,331.50 and 68,038.50

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Solution

The third proportional to 45,331.50 and 68,038.50 is: 102,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,331.50 : 68,038.50 = 68,038.50 : x
  2. Step 2: Convert to fraction form
    45,331.50/68,038.50 = 68,038.50/x
  3. Step 3: Cross multiply
    45,331.50x = 68,038.50 × 68,038.50
  4. Step 4: Simplify right side
    45,331.50x = 4,629,237,482.25
  5. Step 5: Solve for x
    x = 4,629,237,482.25/45,331.50
  6. Step 6: Final answer
    x = 102,119.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.