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Finding the Third Proportional to 18,822 and 24,985.50

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Solution

The third proportional to 18,822 and 24,985.50 is: 33,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822 : 24,985.50 = 24,985.50 : x
  2. Step 2: Convert to fraction form
    18,822/24,985.50 = 24,985.50/x
  3. Step 3: Cross multiply
    18,822x = 24,985.50 × 24,985.50
  4. Step 4: Simplify right side
    18,822x = 624,275,210.25
  5. Step 5: Solve for x
    x = 624,275,210.25/18,822
  6. Step 6: Final answer
    x = 33,167.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.