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Finding the Third Proportional to 43,173.84 and 66,606.47

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Solution

The third proportional to 43,173.84 and 66,606.47 is: 102,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,173.84 : 66,606.47 = 66,606.47 : x
  2. Step 2: Convert to fraction form
    43,173.84/66,606.47 = 66,606.47/x
  3. Step 3: Cross multiply
    43,173.84x = 66,606.47 × 66,606.47
  4. Step 4: Simplify right side
    43,173.84x = 4,436,421,679.34
  5. Step 5: Solve for x
    x = 4,436,421,679.34/43,173.84
  6. Step 6: Final answer
    x = 102,757.16

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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.