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Finding the Third Proportional to 43,284.38 and 66,487.08

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Solution

The third proportional to 43,284.38 and 66,487.08 is: 102,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,284.38 : 66,487.08 = 66,487.08 : x
  2. Step 2: Convert to fraction form
    43,284.38/66,487.08 = 66,487.08/x
  3. Step 3: Cross multiply
    43,284.38x = 66,487.08 × 66,487.08
  4. Step 4: Simplify right side
    43,284.38x = 4,420,531,557.60
  5. Step 5: Solve for x
    x = 4,420,531,557.60/43,284.38
  6. Step 6: Final answer
    x = 102,127.65

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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.