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Finding the Third Proportional to 42,668 and 64,010

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Solution

The third proportional to 42,668 and 64,010 is: 96,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,668 : 64,010 = 64,010 : x
  2. Step 2: Convert to fraction form
    42,668/64,010 = 64,010/x
  3. Step 3: Cross multiply
    42,668x = 64,010 × 64,010
  4. Step 4: Simplify right side
    42,668x = 4,097,280,100
  5. Step 5: Solve for x
    x = 4,097,280,100/42,668
  6. Step 6: Final answer
    x = 96,027.00

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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.