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Finding the Third Proportional to 9,937 and 16,505.50

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Solution

The third proportional to 9,937 and 16,505.50 is: 27,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937 : 16,505.50 = 16,505.50 : x
  2. Step 2: Convert to fraction form
    9,937/16,505.50 = 16,505.50/x
  3. Step 3: Cross multiply
    9,937x = 16,505.50 × 16,505.50
  4. Step 4: Simplify right side
    9,937x = 272,431,530.25
  5. Step 5: Solve for x
    x = 272,431,530.25/9,937
  6. Step 6: Final answer
    x = 27,415.87

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.