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Finding the Third Proportional to 18,280 and 24,772

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Solution

The third proportional to 18,280 and 24,772 is: 33,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280 : 24,772 = 24,772 : x
  2. Step 2: Convert to fraction form
    18,280/24,772 = 24,772/x
  3. Step 3: Cross multiply
    18,280x = 24,772 × 24,772
  4. Step 4: Simplify right side
    18,280x = 613,651,984
  5. Step 5: Solve for x
    x = 613,651,984/18,280
  6. Step 6: Final answer
    x = 33,569.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.