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Finding the Third Proportional to 16,915 and 24,041.75

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Solution

The third proportional to 16,915 and 24,041.75 is: 34,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,915 : 24,041.75 = 24,041.75 : x
  2. Step 2: Convert to fraction form
    16,915/24,041.75 = 24,041.75/x
  3. Step 3: Cross multiply
    16,915x = 24,041.75 × 24,041.75
  4. Step 4: Simplify right side
    16,915x = 578,005,743.06
  5. Step 5: Solve for x
    x = 578,005,743.06/16,915
  6. Step 6: Final answer
    x = 34,171.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.