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Finding the Third Proportional to 16,952.50 and 24,659

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Solution

The third proportional to 16,952.50 and 24,659 is: 35,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.50 : 24,659 = 24,659 : x
  2. Step 2: Convert to fraction form
    16,952.50/24,659 = 24,659/x
  3. Step 3: Cross multiply
    16,952.50x = 24,659 × 24,659
  4. Step 4: Simplify right side
    16,952.50x = 608,066,281
  5. Step 5: Solve for x
    x = 608,066,281/16,952.50
  6. Step 6: Final answer
    x = 35,868.83

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.