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Finding the Third Proportional to 43,924 and 64,014

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Solution

The third proportional to 43,924 and 64,014 is: 93,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,924 : 64,014 = 64,014 : x
  2. Step 2: Convert to fraction form
    43,924/64,014 = 64,014/x
  3. Step 3: Cross multiply
    43,924x = 64,014 × 64,014
  4. Step 4: Simplify right side
    43,924x = 4,097,792,196
  5. Step 5: Solve for x
    x = 4,097,792,196/43,924
  6. Step 6: Final answer
    x = 93,292.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.