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Finding the Third Proportional to 1,021.36 and 1,632.02

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Solution

The third proportional to 1,021.36 and 1,632.02 is: 2,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.36 : 1,632.02 = 1,632.02 : x
  2. Step 2: Convert to fraction form
    1,021.36/1,632.02 = 1,632.02/x
  3. Step 3: Cross multiply
    1,021.36x = 1,632.02 × 1,632.02
  4. Step 4: Simplify right side
    1,021.36x = 2,663,500.50
  5. Step 5: Solve for x
    x = 2,663,500.50/1,021.36
  6. Step 6: Final answer
    x = 2,607.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.