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Finding the Third Proportional to 28,666 and 43,431.50

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Solution

The third proportional to 28,666 and 43,431.50 is: 65,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,666 : 43,431.50 = 43,431.50 : x
  2. Step 2: Convert to fraction form
    28,666/43,431.50 = 43,431.50/x
  3. Step 3: Cross multiply
    28,666x = 43,431.50 × 43,431.50
  4. Step 4: Simplify right side
    28,666x = 1,886,295,192.25
  5. Step 5: Solve for x
    x = 1,886,295,192.25/28,666
  6. Step 6: Final answer
    x = 65,802.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.