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Finding the Third Proportional to 17,533 and 24,661.50

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Solution

The third proportional to 17,533 and 24,661.50 is: 34,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533 : 24,661.50 = 24,661.50 : x
  2. Step 2: Convert to fraction form
    17,533/24,661.50 = 24,661.50/x
  3. Step 3: Cross multiply
    17,533x = 24,661.50 × 24,661.50
  4. Step 4: Simplify right side
    17,533x = 608,189,582.25
  5. Step 5: Solve for x
    x = 608,189,582.25/17,533
  6. Step 6: Final answer
    x = 34,688.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.