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Finding the Third Proportional to 22,899 and 32,668.50

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Solution

The third proportional to 22,899 and 32,668.50 is: 46,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899 : 32,668.50 = 32,668.50 : x
  2. Step 2: Convert to fraction form
    22,899/32,668.50 = 32,668.50/x
  3. Step 3: Cross multiply
    22,899x = 32,668.50 × 32,668.50
  4. Step 4: Simplify right side
    22,899x = 1,067,230,892.25
  5. Step 5: Solve for x
    x = 1,067,230,892.25/22,899
  6. Step 6: Final answer
    x = 46,606.00

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.