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Finding the Third Proportional to 43,276 and 65,070

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Solution

The third proportional to 43,276 and 65,070 is: 97,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,276 : 65,070 = 65,070 : x
  2. Step 2: Convert to fraction form
    43,276/65,070 = 65,070/x
  3. Step 3: Cross multiply
    43,276x = 65,070 × 65,070
  4. Step 4: Simplify right side
    43,276x = 4,234,104,900
  5. Step 5: Solve for x
    x = 4,234,104,900/43,276
  6. Step 6: Final answer
    x = 97,839.56

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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.