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Finding the Third Proportional to 16,824 and 24,909.75

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Solution

The third proportional to 16,824 and 24,909.75 is: 36,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824 : 24,909.75 = 24,909.75 : x
  2. Step 2: Convert to fraction form
    16,824/24,909.75 = 24,909.75/x
  3. Step 3: Cross multiply
    16,824x = 24,909.75 × 24,909.75
  4. Step 4: Simplify right side
    16,824x = 620,495,645.06
  5. Step 5: Solve for x
    x = 620,495,645.06/16,824
  6. Step 6: Final answer
    x = 36,881.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.