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Finding the Third Proportional to 18,240 and 24,480

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Solution

The third proportional to 18,240 and 24,480 is: 32,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,240 : 24,480 = 24,480 : x
  2. Step 2: Convert to fraction form
    18,240/24,480 = 24,480/x
  3. Step 3: Cross multiply
    18,240x = 24,480 × 24,480
  4. Step 4: Simplify right side
    18,240x = 599,270,400
  5. Step 5: Solve for x
    x = 599,270,400/18,240
  6. Step 6: Final answer
    x = 32,854.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.