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Finding the Third Proportional to 43,047 and 66,487.50

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Solution

The third proportional to 43,047 and 66,487.50 is: 102,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,047 : 66,487.50 = 66,487.50 : x
  2. Step 2: Convert to fraction form
    43,047/66,487.50 = 66,487.50/x
  3. Step 3: Cross multiply
    43,047x = 66,487.50 × 66,487.50
  4. Step 4: Simplify right side
    43,047x = 4,420,587,656.25
  5. Step 5: Solve for x
    x = 4,420,587,656.25/43,047
  6. Step 6: Final answer
    x = 102,692.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.