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Finding the Third Proportional to 43,083 and 64,670

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Solution

The third proportional to 43,083 and 64,670 is: 97,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,083 : 64,670 = 64,670 : x
  2. Step 2: Convert to fraction form
    43,083/64,670 = 64,670/x
  3. Step 3: Cross multiply
    43,083x = 64,670 × 64,670
  4. Step 4: Simplify right side
    43,083x = 4,182,208,900
  5. Step 5: Solve for x
    x = 4,182,208,900/43,083
  6. Step 6: Final answer
    x = 97,073.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.