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Finding the Third Proportional to 45,567 and 66,832.50

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Solution

The third proportional to 45,567 and 66,832.50 is: 98,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,567 : 66,832.50 = 66,832.50 : x
  2. Step 2: Convert to fraction form
    45,567/66,832.50 = 66,832.50/x
  3. Step 3: Cross multiply
    45,567x = 66,832.50 × 66,832.50
  4. Step 4: Simplify right side
    45,567x = 4,466,583,056.25
  5. Step 5: Solve for x
    x = 4,466,583,056.25/45,567
  6. Step 6: Final answer
    x = 98,022.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.