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Finding the Third Proportional to 16,464.75 and 24,842.25

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Solution

The third proportional to 16,464.75 and 24,842.25 is: 37,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.75 : 24,842.25 = 24,842.25 : x
  2. Step 2: Convert to fraction form
    16,464.75/24,842.25 = 24,842.25/x
  3. Step 3: Cross multiply
    16,464.75x = 24,842.25 × 24,842.25
  4. Step 4: Simplify right side
    16,464.75x = 617,137,385.06
  5. Step 5: Solve for x
    x = 617,137,385.06/16,464.75
  6. Step 6: Final answer
    x = 37,482.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.