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Finding the Third Proportional to 15,448 and 33,084

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Solution

The third proportional to 15,448 and 33,084 is: 70,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,448 : 33,084 = 33,084 : x
  2. Step 2: Convert to fraction form
    15,448/33,084 = 33,084/x
  3. Step 3: Cross multiply
    15,448x = 33,084 × 33,084
  4. Step 4: Simplify right side
    15,448x = 1,094,551,056
  5. Step 5: Solve for x
    x = 1,094,551,056/15,448
  6. Step 6: Final answer
    x = 70,853.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.