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Finding the Third Proportional to 43,428 and 64,962

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Solution

The third proportional to 43,428 and 64,962 is: 97,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,428 : 64,962 = 64,962 : x
  2. Step 2: Convert to fraction form
    43,428/64,962 = 64,962/x
  3. Step 3: Cross multiply
    43,428x = 64,962 × 64,962
  4. Step 4: Simplify right side
    43,428x = 4,220,061,444
  5. Step 5: Solve for x
    x = 4,220,061,444/43,428
  6. Step 6: Final answer
    x = 97,173.75

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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.