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Finding the Third Proportional to 42,645 and 63,968

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Solution

The third proportional to 42,645 and 63,968 is: 95,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,645 : 63,968 = 63,968 : x
  2. Step 2: Convert to fraction form
    42,645/63,968 = 63,968/x
  3. Step 3: Cross multiply
    42,645x = 63,968 × 63,968
  4. Step 4: Simplify right side
    42,645x = 4,091,905,024
  5. Step 5: Solve for x
    x = 4,091,905,024/42,645
  6. Step 6: Final answer
    x = 95,952.75

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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.