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Finding the Third Proportional to 18,483 and 27,868.50

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Solution

The third proportional to 18,483 and 27,868.50 is: 42,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,483 : 27,868.50 = 27,868.50 : x
  2. Step 2: Convert to fraction form
    18,483/27,868.50 = 27,868.50/x
  3. Step 3: Cross multiply
    18,483x = 27,868.50 × 27,868.50
  4. Step 4: Simplify right side
    18,483x = 776,653,292.25
  5. Step 5: Solve for x
    x = 776,653,292.25/18,483
  6. Step 6: Final answer
    x = 42,019.87

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1.5x scale

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.