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Finding the Third Proportional to 43,840.69 and 70,606.69

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Solution

The third proportional to 43,840.69 and 70,606.69 is: 113,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,840.69 : 70,606.69 = 70,606.69 : x
  2. Step 2: Convert to fraction form
    43,840.69/70,606.69 = 70,606.69/x
  3. Step 3: Cross multiply
    43,840.69x = 70,606.69 × 70,606.69
  4. Step 4: Simplify right side
    43,840.69x = 4,985,304,319.72
  5. Step 5: Solve for x
    x = 4,985,304,319.72/43,840.69
  6. Step 6: Final answer
    x = 113,714.10

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.